TMR - Network: 
 Asymptotic Methods in Kinetic Theory  -  Preprint Archive



Preprints available for download:

1 A. Arnold, P. Markowich, G. Toscani, A. Unterreiter: "On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations",
Comm. PDE 26(1-2), 43-100, 2001.
ps (0.6 MB)
zip (0.2 MB)
2 A. Arnold, P. Markowich, G. Toscani, A. Unterreiter: "On generalized Csiszár-Kullback inequalities",
Monatshefte für Mathematik, Vol.131, No.3, pp.235-253, 2000.
ps (0.3 MB)
zip (0.1 MB)
3 Myo Thein Gyi, A. Jüngel: "A Quantum Regularization of the One-dimensional Hydrodynamic Model for Semiconductors",
Adv. Diff. Eqs., 5, 773-800, 2000.
ps (0.4 MB)
zip (0.1 MB)
4 A. Jüngel, C. Pohl: "Numerical Simulation of Semiconductor Devices: Energy-transport and Quantum Hydrodynamic Modeling",
Proceedings of the Sixth International Workshop on Computational Electronics in Osaka, Japan, IEEE, 230-233, 1998.
ps (3.4 MB)
zip (0.7 MB)
5 A. Klar, C. Schmeiser: "Numerical Passage from Radiative Heat Transfer to Nonlinear Diffusion Models",
Math. Models and Meth. in Appl. Sci. 11, 749-767, 2001.
ps (0.5 MB)
zip (0.1 MB)
6 P. Degond: "Mathematical modelling of microelectronics semiconductor devices",
Proceedings of the Morningside Mathematical Center, Beijing,
AMS/IP Studies in Advanced Mathematics, AMS Society and International Press, 77-109, 2000.
ps (0.3 MB)
zip (0.1 MB)
7 A. Jüngel, Yue-Jun Peng: "Zero-Relaxation-Time Limits in the Hydrodynamic Equations for Plasmas Revisited",
Z. Angew. Math. Phys., 51, 385-396, 2000.
ps (0.2 MB)
zip (0.1 MB)
8 P. Degond, A. Nouri, C. Schmeiser: "Macroscopic Models for Ionization in the Presence of Strong Electric Fields",
Transp. Th. and Stat. Phys., 29, pp. 551-561, 2000.
ps (0.4 MB)
zip (0.1 MB)
9 S.F. Liotta, A. Majorana: "Energy-kinetic equations modeling electron transport in semiconductors" ,
Submitted to SIAM J. Appl. Math.
ps (0.6 MB)
zip (0.2 MB)
10 J.A. Carrillo, G. Toscani: "Asymptotic L1-decay of solutions of the porous medium equation to self-similarity",
Indiana University Mathematics Journal, 49, 113-141, 2000.
ps (0.3 MB)
zip (0.1 MB)
11 N. Ben Abdallah, P. Degond, P. Markowich, C. Schmeiser: "High Field Approximations of the Spherical Harmonics Expansion Model for Semiconductors",
ZAMP 52, 201-230, 2001.
ps (0.2 MB)
zip (0.1 MB)
12 H. Struchtrup: "Kinetic schemes and boundary conditions for moment equations",
to appear in ZAMP, 1999.
ps (0.3 MB)
zip (0.1 MB)
13 A. Arnold, P. Markowich, G. Toscani: "On Large Time Asymptotics For Drift-Diffusion-Poisson Systems",
Transp. Theory Stat. Phys. 29(3-5), 571-581, 2000.
ps (0.2 MB)
zip (0.1 MB)
14 B. Wennberg: "An Example of Non-uniqueness for Solutions to the Homogeneous Boltzmann Equation",
accepted for publication in J. Stat. Phys., 1999.
ps (0.3 MB)
zip (0.1 MB)
15 P. Degond, J.L. López, F. Poupaud, C. Schmeiser: "Existence of solutions of a kinetic equation modelling cometary flows",
J. Stat. Phys., 96:361-376, 1999.
ps (0.2 MB)
zip (62 KB)
16 C. Schmeiser: "Macroscopic Models for Almost Elastic Nonlinear Electro-Phonon Interaction in Semiconductors",
SIAM J. Appl. Math. 60, 109-120, 1999.
ps (0.4 MB)
zip (0.1 MB)
17 M. Asadzadeh: "Characteristic Methods for Fokker-Planck and Fermi Pencil Beam Equations",
to appear in "Proceeding of 21th International Symposium on Rarefield Gas Dynamics", Marseille, 1998.
ps (0.5 MB)
zip (0.1 MB)
18 M. Asadzadeh: "A Posteriori Error Estimates for the Fokker-Planck and Fermi Pencil Beam Equations",
Preprint Departement of Mathematics, Chalmers University of Technologie, 1999.
ps (0.7 MB)
zip (0.2 MB)
19 L. Arkeryd, A. Nouri: "The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces",
Ann. Scuola Norm. Sup. Pisa 27, 533-566, 1999.
ps (0.5 MB)
zip (0.1 MB)
20 L. Arkeryd, A. Nouri: "L1 solutions to the stationary Boltzmann equation in a slab." Ann. Math. Toul. 6, 2000. ps (0.6 MB)
zip (0.1 MB)
21 C. Villani: "Contribution à l'étude mathématique des équations de Boltzmann et de Landau en théorie cinétique des gaz et des plasmas",
Ph.D. Thesis, Université Paris IX-Dauphine, 1998.
ps (3.1 MB)
zip (1.1 MB)
22 A. Arnold, M. Ehrhardt: "Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics",
J. Comput. Physics 145(2), 611-638, 1998.
ps (0.2 MB)
zip (0.1 MB)
23 A. Unterreiter: "The Quantum Zero Space Charge Model for Semiconductors",
to appear in European Journal of Applied Mathematics
ps (0.7 MB)
zip (0.1 MB)
24 R. Pinnau, A. Unterreiter: "The Stationary Current-Voltage Characteristics of the Quantum Drift Diffusion Model",
to appear in SIAM Journal on Numerical Analysis, 1999.
ps (0.9 MB)
zip (0.2 MB)
25 F. Bouchut: "Construction of BGK models with a family of kinetic entropies for a given system of conservation laws",
to appear in Journal of Statistical Physics, 1999.
ps (0.4 MB)
zip (0.1 MB)
26 H. Andréasson: "Global foliations of matter spacetimes with Gowdy symmetry",
Commun. Math. Phys. 206, 337-366, 1999.
ps (0.6 MB)
zip (0.2 MB)
27 F. Poupaud, J. Soler: "Parabolic Limit and Stability of the Vlasov-Poisson-Fokker-Planck System",
Math. Mod. Meth. Appl. Sci., Vol. 10, 1027-1045, 2000.
ps (0.2 MB)
zip (0.1 MB)
28 I. Gamba, A. Jüngel: "Positive Solutions to Singular Second and Third Order Differential Equations for Quantum Fluids",
Arch. Rat. Mech. Anal., 156, 183-203, 2001.
ps (0.2 MB)
zip (0.1 MB)
29 Y. Brenier: "Convergence of the Vlasov-Poisson System to the Incompressible Euler Equations",
to appear in Comm. PDEs., 1999.
ps (0.2 MB)
zip (0.1 MB)
30 V.A. Panferov, A.G. Heintz: "A New Consistent Discrete-Velocity Model for the Boltzmann Equation" ,
to appear in Math. Meth. Appl.Sci., 2000.
ps (0.9 MB)
zip (0.2 MB)
31 H. Struchtrup, W. Weiss: "Temperature jump and velocity slip in the moment method" ,
submitted to Continuum Mechanics and Thermodynamics, 1999.
ps (0.4 MB)
zip (0.1 MB)
32 L. Desvillettes, M. Pulvirenti: "The linear Boltzmann Equation for long-range forces: A derivation from particle systems",
Preprint 97/15 of the "Universite d'Orleans, Departement de Mathematiques", to appear in Mathematical Models and Methods in Applied Sciences, 7, n. 9, (1999).
ps (0.2 MB)
zip (0.1 MB)
33 L. Desvillettes, F. Golse: "On a Model Boltzmann Equation without Angular Cutoff",
Preprint 98/01 de l'Universite d'Orleans, D'epartement de Math'ematiques, to appear in Differential and Integral Equations.
ps (0.2 MB)
zip (0.1 MB)
34 F. Bouchut, L. Desvillettes: "Averaging lemmas without time Fourier transform and application to discretized kinetic equations",
To appear in Proc. of the Royal Soc. of Edinburgh, 1999.
ps (0.2 MB)
zip (0.1 MB)
35 L. Desvillettes, C. Villani: "On the spatially homogeneous Landau Equation for hard potentials
Part I: Existence, uniqueness and smoothness",
Preprint n. 9830 du CMLA, ENS Cachan. To appear in Communication in Partial Differential Equations.
ps (0.5 MB)
zip (0.2 MB)
36 L. Desvillettes, C. Villani: "On the spatially homogeneous Landau Equation for hard potentials
Part II: H-Theorem and Applications",
1999.
ps (0.2 MB)
zip (0.1 MB)
37 H. Struchtrup: "The moment method for electrons in semiconductors",
submitted to Phys. Rev. B, 1999.
ps (0.8 MB)
zip (0.3 MB)
38 P. Bechouche, A. Jüngel: "Inviscid Limits of the Complex Ginzburg-Landau Equation",
Comm. Math. Phys., 214, 201-226, 2000.
ps (0.3 MB)
zip (0.1 MB)
39 C. Buet, S. Cordier: "Numerical analysis of conservative and entropic schemes for the Fokker-Planck-Landau equation",
to appear in SIAM journal of numerical analysis, 1999.
ps (0.5 MB)
zip (0.2 MB)
40 C. Buet, S. Cordier: "Conservative and entropy numerical scheme for the isotropic Fokker-Planck-Landau equation" ,
to appear in SIAM journal of numerical analysis, 1999.
ps (0.9 MB)
zip (0.3 MB)
41 A. Arnold, H. Lange, P.F. Zweifel: "A discrete-velocity, stationary Wigner equation,"
J. Math. Phys. 41(11), 7167-7180, 2000.
ps (0.2 MB)
zip (0.1 MB)
42 A. Arnold, J.L. Lopez, P.A. Markowich, J. Soler: "An Analysis of Quantum Fokker-Planck Models: A Wigner Function Approach",
submitted to Rev. Mat. Iberoam., 2001.
ps (0.3 MB)
zip (0.1 MB)
43 A. Arnold, J.A. Carrillo, I. Gamba, C.-W. Shu: "Low and High Field Scaling Limits for the Vlasov- and Wigner-Poisson-Fokker-Planck Systems",
Transp. Theory Stat. Phys., 30(2-3), 121-153, 2001.
ps (0.7 MB)
zip (0.2 MB)
44 A.M. Anile, V. Romano: "Non parabolic band transport in semiconductors: closure of the moment equations",
To appear in Cont.\ Mechanics Thermodyn.
ps (0.7 MB)
zip (0.1 MB)
45 A.M. Anile, V. Romano, G. Russo: "Extended Hydrodynamical Model of Carrier Transport in Semiconductors",
submitted to SIAM J. on Applied Mathematics, 1999.
ps (0.8 MB)
zip (0.2 MB)
46 P. Degond, S. Génieys, A. Jüngel: "A steady-state system in nonequilibrium thermodynamics including thermal and electrical effects",
Math. Meth. Appl. Sci. 21, 1399-1413, 1998.
ps (0.2 MB)
zip (0.1 MB)
47 T. Goudon, A. Jüngel, Y.-J. Peng: "Zero-mass-electrons limits in hydrodynamic models for plasmas",
Appl. Math. Lett. 12, 75-79, 1999.
ps (0.1 MB)
zip (48 KB)
48 P. Degond, S. Génieys, A. Jüngel: "A System of Parabolic Equations in Nonequilibrium Thermodynamics including Thermal and Electrical Effects",
J. Math. Pures Appl. 76, 991-1015, 1997.
ps (0.3 MB)
zip (0.1 MB)
49 P. Biler, J. Dolbeault: "Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems",
Annales Henri Poincaré 1, no. 3, 461-472, 2000.
ps (0.5 MB)
zip (0.1 MB)
50 M. del Pino, J. Dolbeault: "Generalized Sobolev inequalities and asymptotic behaviour in fast diffusion and porous medium problems",
Preprint Ceremade, 1999.
ps (0.7 MB)
zip (0.2 MB)
51 J. Dolbeault: "Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models",
Transp. Th. Stat. Phys., 29(3-5), 537-549, 2000.
ps (0.4 MB)
zip (0.1 MB)
52 J. Dolbeault: "Time-dependent rescalings and dispersion for the Boltzmann equation",
accepted in Arch. Rat. Mech. Analysis, Preprint Ceremade, 1998.
ps (0.5 MB)
zip (0.1 MB)
53 N. Ben Abdallah, L. Desvillettes, S. Génieys: "On the Convergence of the Boltzmann equation for semiconductors towards the Energy Transport model",
J. Statist. Phys. 98(3-4), 835--870, 2000.
ps (0.7 MB)
zip (0.2 MB)
54 E.A. Carlen, M.C. Carvalho, E. Gabetta: "Central Limit Theorem for Maxwellian Molecules and Truncation of the Wild Expansion",
Comm. in Pure and Appl. Math., 53, 370--397, 2000.
ps (1.1 MB)
zip (0.3 MB)
55 E.A. Carlen, M.C. Carvalho, E. Orlandi: "Algebraic rate of decay for the excess free energy and stability of fronts for a non-local phase kinetics equation with a conservation law, I",
J. Stat. Phys., 95(5-6):1069-1117, 1999.
ps (0.6 MB)
zip (0.2 MB)
56 E.A. Carlen, M.C. Carvalho, E. Orlandi: "Algebraic rate of decay for the excess free energy and stability of fronts for a non-local phase kinetics equation with a conservation law, II",
Comm. Partial Differential Equations 25, 370--397, 2000.
ps (0.5 MB)
zip (0.1 MB)
57 P. Degond, P.-F. Peyrard, G. Russo, P. Villedieu: "Polynomial upwind schemes for hyperbolic systems.",
C. R. Acad. Sci. Paris, 328:479-483, 1999.
ps (0.2 MB)
zip (51 KB)
58 J. Bourgain, F. Golse, B. Wennberg: "On the Distribution of Free Path Lengths for the Periodic Lorentz Gas",
1999.
ps (0.3 MB)
zip (0.1 MB)
59 D. Benedetto, E. Caglioti, F. Golse, M. Pulvirenti: "A Hydrodynamic Model Arising in the Context of Granular Media",
Preprint LMENS-99-7, to appear in Computers and Mathematics with Applications, 1999.
ps (0.2 MB)
zip (0.1 MB)
60 P. Degond, C. Schmeiser: "Macroscopic models for semiconductor heterostructures",
J. Math. Phys., 39:1--30, 1998.
ps (0.8 MB)
zip (0.2 MB)
61 P. Degond, C. Schmeiser: "Kinetic Boundary Layers and Fluid-Kinetic Coupling in Semiconductors",
Transp. Theory and Stat. Phys., 28, 31-55, 1999.
ps (0.6 MB)
zip (0.1 MB)
62 P. Degond, J. López, P.F. Peyrard: "On the macroscopic dynamics induced by a model wave-particle collision operator",
Continuum Mechanics and Thermodynamics, 10:153--178, 1998.
ps (0.4 MB)
zip (0.1 MB)
63 A. Pulvirenti, G. Toscani: "On the grazing collision limit for the spatially homogeneous Boltzmann equation",
Rendiconti Circolo Mat. Palermo Suppl., 57, 405-412, 1998.
ps (0.2 MB)
zip (0.1 MB)
64 C. Cercignani, R. Marra, R. Esposito: "The Milne problem with a force term",
Transp. Th. Stat. Phys., 27:1-34, 1998.
ps (1.1 MB)
zip (0.5 MB)
65 A.V. Bobylev, J.A. Carrillo, I. Gamba: "On some properties of kinetic and hydrodynamic equations for inelastic interactions",
J. Stat. Phys., 98, 743-773, 2000.
ps (0.3 MB)
zip (0.1 MB)
66 A. Anile, V. Romano: "Hydrodynamical Modeling of Charge Carrier Transport in Semiconductors" ,
Sumer school on Industrial Mathematics, IST Lisboa, Portugal, 1999.
ps (1.1 MB)
zip (0.2 MB)
67 P.A. Markowich, F. Poupaud: "The Pseudo-Differential Approach to Finite Differences Revisited",
Calcolo, 36, 161-186, 1999.
ps (0.7 MB)
zip (0.1 MB)
68 P. Bechouche, N. Mauser, F. Poupaud: "(Semi)-nonrelativistic limits of the Dirac equation with external time-dependent electromagnetic field",
Comm. Math. Phys., 197:405-425, 1998.
ps (0.3 MB)
zip (0.1 MB)
69 S.F. Liotta, H. Struchtrup: "Moment equations for electrons in semiconductors: comparison of spherical harmonics and full moments",
submitted to Solid-St. Electron., 1999.
ps (0.4 MB)
zip (0.1 MB)
70 D. Sanchez, M. Moscoso, L. L. Bonilla, G. Platero, R. Aguado: "Current self-oscillations, spikes and crossover between charge monopole and dipole waves in semiconductor superlattices",
submitted, 1999.
ps (0.4 MB)
zip (0.1 MB)
71 E. Ruíz Arriola, J. Soler: "Asymptotic behaviour for the 3-D Schrödinger-Poisson system in the attractive case with positive energy",
Appl. Math. Lett. 12, 1-6, 1999.
ps (1.2 MB)
zip (0.7 MB)
72 L.L. Bonilla, C. Perez-Vicente, F. Ritort, J. Soler: "Exactly solvable phase oscillator models with synchronization dynamics",
Phys. Rev. Lett. 81, 3643-3646, 1998.
ps (n/a)
zip (n/a)
73 L.L. Bonilla, V.A. Kochelap, C.A. Velasco: "Pattern Formation under Bistable Electro-Optical Absorption in Quantum Wells - Part I",
submitted to J. Phys.: Condens. Matter, 1999.
ps (n/a)
zip (0.3 MB)
74 L.L. Bonilla, V.A. Kochelap, C.A. Velasco: "Pattern Formation under Bistable Electro-Optical Absorption in Quantum Wells - Part II",
submitted to J. Phys.: Condens. Matter, 1999.
ps (n/a)
zip (0.4 MB)
75 J.A. Carrillo, J. Soler: "On the evolution of a singular vortex patch in a two-dimensional incompressible fluid flow",
Comp. Phys. Commun., 121-122, 244-250, 1999.
ps (1.3 MB)
zip (0.3 MB)
76 A. Galaktionov, S.I. Shmarev, J.L. Vazquez: "Behaviour of interfaces in a diffusio-absorption equation with critical exponents",
submitted, 1999.
ps (0.7 MB)
zip (0.1 MB)
77 K.J. Luo, H.T. Grahn, K. Ploog, L.L. Bonilla: "Explosive bifurcation to chaos in weakly-coupled semiconductor superlattices" ,
Phys. Rev. Lett. 81, 1290-1293, 1998.
ps (n/a)
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78 F. Quirós, J.L. Vázquez: "Asymptotic behaviour of the Porous Media equation in an exterior domain" ,
to appear in Ann. Es. Norm. Sup. Pisa, 1999.
ps (0.8 MB)
zip (0.2 MB)
79 L. Desvillettes, C. Villani: "On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems
Part I: the linear Fokker-Planck equation" ,
1999.
ps (0.4 MB)
zip (0.2 MB)
80 L. Pareschi, G. Russo: "On the stability of spectral methods for the homogeneous Boltzmann equation",
Transp. Theo. Stat. Phys., 29(3-5), 431-447, 2000.
ps (0.4 MB)
zip (0.1 MB)
81 L. Pareschi, G. Russo: "Asymptotic Preserving Monte Carlo Methods for the Boltzmann Equation",
Transp. Theo. Stat. Phys., 29(3-5), 415-430, 2000.
ps (0.3 MB)
zip (0.1 MB)
82 V. Romano, M. Torrisi: "Application of weak equivalence transformations to a group analysis of a drift-diffusion model",
submitted to J. Phys. A, 1999.
ps (0.6 MB)
zip (0.1 MB)
83 S. Bertoluzza, P. Pietra: "Space-Frequency Adaptive Approximation for Quantum Hydrodynamic Models",
to appear in Trans. Theo. Stat. Phys., 1999.
ps (0.3 MB)
zip (0.1 MB)
84 P. Biler, J. Dolbeault, P.A. Markowich: "Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling",
TTSP, 30(4-6), 521-536, 2001.
ps (0.2 MB)
zip (0.1 MB)
85 A. Arnold, E. Carlen : "A generalized Bakry-Emery condtion for non-symetric diffusions",
EQUADIFF 99, Proceedings of the International Conference on Differential Equations, Berlin 1999, B. Fiedler, K. Gröger, J. Sprekels (eds.); World Scientific Publishing, 732-734, 2000.
ps (0.1 MB)
zip (50 KB)
86 J.A. Carrillo: "On a 1-D granular media immersed in a fluid",
Fields Institute Communications, 27, 43-56, 2000.
ps (0.2 MB)
zip (0.1 MB)
87 L. Caffarelli, J. Dolbeault, P.A. Markowich, C Schmeiser.: "On Maxwelian Equilibria of Insulated Semiconductors",
Interfaces and Free Boundaries, 2, 331-339, 2000.
ps (0.5 MB)
zip (0.1 MB)
88 L. Arkeryd, A. Nouri: "On the Milne problem and the hydrodynamic limit for a steady Boltzman equation model",
J. Stat.Phys. 99, 993-1018.
ps (0.5 MB)
zip (0.1 MB)
89 F. Bouchut: "On transport equations and the chain rule",
Preprint, 1999.
ps (0.2 MB)
zip (0.1 MB)
90 R. Alexandre, L. Desvillettes, C. Villani, B. Wennberg: "Entropy Disspation and Long-Range Interactions",
1999.
ps (1.3 MB)
zip (0.7 MB)
91 C. Villani: "On the Trend to Equilirium for Solutions of the Boltzmann Equation: Quantitative Versions of Boltzmann's H-Theorem",
1999.
ps (1.4 MB)
zip (0. MB)
92 G. Toscani, C. Villani: "On the Trend to Equilibrium for some Dissipative Systems with Slowly Increasing A Priori Bounds",
J. Statist. Phys., 98, 1279-1309, 2000.
ps (1.4 MB)
zip (0.8 MB)
93 L. Pareschi, G. Toscani, C. Villani: "Spectral Methods for the non Cut-Off Boltzmann Equation and Numerical Grazing Collision Limit",
to appear in Numer. Math., 2002.
ps (1.3 MB)
zip (0.7 MB)
94 A. Zisowsky, K. Wolter: "Numerical Solution of Second Order Stochastic Fluid Models",
submitted to TOOLS2000, 1999.
ps (0.5 MB)
zip (0.1 MB)
95 I. Gasser, P.-E. Jabin, B. Perthame: "Regularity and propagation of moments in some nonlinear Vlasov systems",
P. Roy. Soc. Edinb. A, Vol. 130A, (1999).
ps (0.2 MB)
zip (0.1 MB)
96 P.-E. Jabin, B. Perthame: "Notes on mathematical problems on the dynamics of dispersed particles interacting through a fluid",
LMENS-98-48, 1999.
ps (0.9 MB)
zip (0.2 MB)
97 P.-E. Jabin: "Macroscopic limit of Vlasov type equations with friction",
1999.
ps (0.2 MB)
zip (0.1 MB)
98 P.-E. Jabin: "Large time concentrations for solutions to kinetic equations with energy dissipation",
1999.
ps (0.2 MB)
zip (0.1 MB)
99 F. Bouchut, L. Desvillettes: "A proof of the smoothing properties of the positive part of Boltzmann's kernel",
Rev. Mat. Iberoam., 14(1):47-61, 1998.
ps (1.3 MB)
zip (0.5 MB)
100 F. Bouchut: "Introduction to the mathematical theory of kinetic equations",
1999.
ps (0.3 MB)
zip (0.1 MB)
101 J. Dolbeault, G. Rein: "Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics",
M3AS, 11(3), 407-432, 2001.
ps (0.6 MB)
zip (0.1 MB)
102 J. Dolbeault, R. Illner, H. Lange: "On Asymmetric Quasiperiodic Solutions of Hartree-Fock Systems",
to appear in Journal of Differential Equations, 2002.
ps (0.3 MB)
zip (0.1 MB)
103 P. Degond, A. Jüngel, P. Pietra: "Numerical discretization of energy-transport models for semiconductors with non-parabolic band structure",
SIAM on Scientific Computing, 22, 986-1007, 2000.
ps (0.3 MB)
zip (0.1 MB)
104 P. Amster, M.P. Beccar Varela, A. Jüngel, M.C. Mariani: "Subsonic solutions to one-dimensional non-isentropic hydrodynamic model for semiconductors",
J. Math. Anal. Appl., 58, 52-62, 2001.
ps (0.1 MB)
zip (56 KB)
105 A. Jüngel, R. Pinnau: "Global Non-Negative Solutions of a Nonlinear Fourth-Order Parabolic Equation for Quantum Systems",
SIAM J. Math. Anal., 32, 760-777, 2000.
ps (0.3 MB)
zip (0.1 MB)
106 A. Jüngel, Yue-Jun Peng: "Rigorous Derivation of a Hierarchy of Macroscopic Models for Semiconductors and Plasmas",
in: B. Fiedler, K. Gröger, and J. Sprekels, International Conference on Differential Equations, World Scientific, Singapore, 1325-1327, 2000.
ps (0.1 MB)
zip (52 KB)
107 A. Jüngel, Yue-Jun Peng: "A Hierarchy of Hydrodynamic Models for Plasmas. Quasi-Neutral Limits in the Drift-Diffusion Equations",
to appear in Asympt. Anal., 2001.
ps (0.3 MB)
zip (0.1 MB)
108 F. Salvarani: "Diffusion Limits for the Initial-Boundary Value Problem of the Goldstein-Taylor Model",
1999.
ps (0.2 MB)
zip (60 KB)
109 E. Caglioti, M. Pulvirenti, V. Ricci: "Derivation of a linear Boltzmann equation for a lattice gas",
submitted to Markov processes and related fields, 1999.
ps (0.2 MB)
zip (66 KB)
110 P.A. Markowich, C. Villani: "On the Trend to Equilibrium for the Fokker-Planck Equation: An Interplay Between Physics and Functional Analysis",
Matematica Contemporanea (SBM), 19, 1-31, 2000.
ps (0.3 MB)
zip (0.1 MB)
111 O. Muscato: "Monte Carlo evaluation of the transport coefficients in a n+ - n - n+ silicon diode",
to apper in COMPEL, 2000.
ps (0.7 MB)
zip (0.1 MB)
112 A.M. Anile, O. Muscato, V. Romano: "Moment equations with Maximum Entropy closure for carrier transport in semiconductor devices: validation in bulk silicon",
to appear in VLSI Design, 1999.
ps (0.8 MB)
zip (0.2 MB)
113 A.M. Blokhin, A.S. Bushmanova, V. Romano: "Stability of the equilibrium state for a hydrodynamical model of charge transport in semiconductors",
accepted for publication in ZAMP, 1999.
ps (0.6 MB)
zip (0.1 MB)
114 V. Romano: "Non parabolic band transport in semiconductors: closure of the production terms in the moment equations",
accepted for publication in Cont. Mech. Thermodyn., 1999.
ps (0.7 MB)
zip (0.2 MB)
115 V. Romano: "Maximum entropy principle for electron transport in semiconductors",
proceedings WASCOM 99, Eolie Islands (Italy), 1999.
ps (0.4 MB)
zip (0.1 MB)
116 N. Ben Abdallah, J. Dolbeault: "Entropies relatives pour le système de Vlasov-Poisson dans des domaines bornés",
C. R. Acad. Sci., Paris, Sér. I, Math. 330(10), 867-872, 2000.
ps (0.3 MB)
zip (0.1 MB)
117 J.A. Carrillo, I. Gamba, C.W. Shu: "Computational macroscopic approximations to the 1-D relaxation-time kinetic system for semiconductors",
Physica D, 146, 289-306, 2000.
ps (1.0 MB)
zip (0.2 MB)
118 J.A. Carrillo, A. Jüngel, P.A. Markowich, G. Toscani, A. Unterreiter: "Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities",
Monatshefte für Mathematik, 113, 1-82, 2001.
ps (0.8 MB)
zip (0.3 MB)
119 P. Degond: "Transport of trapped particles in a surface potential",
to appear in the Proceedings of the Seminar J.L. Lions, College de France, 2002.
ps (0.2 MB)
zip (77 KB)
120 O. Muscato: "Onsager relations and hydrodynamic transport in a submicron silicon diode",
to appear in Proceedings of WASCOM 99, Eolie Islands (Italy) 1999.
ps (0.4 MB)
zip (0.1 MB)
121 J.A. Carrillo, C. Cercignani, I.M. Gamba: "Steady states of a Boltzmann equation for driven granular media",
Phys. Rev. E., 62, 7700-7707, 2000.
ps (0.2 MB)
zip (0.1 MB)
122 M. Junk: "A new Perspective on Kinetic Schemes",
2000.
ps (0.7 MB)
zip (0.2 MB)
123 M. Junk: "Exponentially exact hyperbolic systems",
2000.
ps (0.7 MB)
zip (0.2 MB)
124 A. Ambroso, X. Fleury, B. Lucquin-Desreux, P.-A. Raviart: "Some remarks on the stationary Vlasov-Poisson system with source term",
published Note in CRAS, 2000.
ps (0.1 MB)
zip (55 KB)
125 C. Buet, S. Cordier, B. Lucquin-Desreux: "The grazing collision limit for the Boltzmann-Lorentz model",
submitted for publication, 2000.
ps (0.5 MB)
zip (0.1 MB)
126 A. Ambroso, X. Fleury, B. Lucquin-Desreux, P.-A. Raviart: "Some remarks on the stationary Vlasov-Poisson system with source term arising in ion beam neutralization",
submitted for publication, 2000.
ps (2.4 MB)
zip (0.6 MB)
127 C. Villani: "Contribution à l'étude mathématique des collisions en théorie cinétique",
2000.
ps (0.9 MB)
zip (0.3 MB)
128 A. Jüngel: "Macroscopic Models for Semiconductor Devices: A Review",
2000.
ps (0.3 MB)
zip (0.1 MB)
129 A. Jüngel, R. Pinnau: "A Positivity-preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System",
SIAM J. Num. Anal., 39, 385-406, 2001.
ps (1.7 MB)
zip (0.3 MB)
130 A. Jüngel, P.A. Markowich, G. Toscani: "Decay rates for solutions of degenerate parabolic systems",
Proceedings: USA-Chile Conference on Nonlinear Analysis, EJDE Conference 06, pp. 189-202, 2001.
ps (0.2 MB)
zip (0.1 MB)
131 A. Arnold: "Mathematical concepts of open quantum boundary conditions",
Transp. Theory Stat. Phys. 30(4-6), 561-584,2000.
ps (0.4 MB)
zip (0.1 MB)
132 V. Romano: "Non parabolic band hydrodynamical model of silicon semiconductors and simulation of electron devices",
2000.
ps (n/a MB)
zip (1.1 MB)
133 R. Alexandre, C. Villani: "On the Boltzmann Equation for long-range interactions",
preprint, 2000.
ps (0.4 MB)
zip (0.2 MB)
134 L. Boudin, L. Desvillettes: "On the Singularities of the Global Small Solutions of the full Boltzmann Equation",
preprint, 2000.
ps (0.2 MB)
zip (0.1 MB)
135 F. Bouchut, F.R. Guarguaglini, R. Natalini: "Diffusive BGK Approximations for Nonlinear Multidimensional Parabolic Equations",
to appear in Indiana Univ. Math. J., 2000.
ps (0.3 MB)
zip (0.1 MB)
136 A. Anile, M. Junk, V. Romano, G. Russo: "Cross-validation of numerical schemes for extended hydrodynamical models of semiconductors",
to appear in Mathematical Models and Methods in Applied Sciences, 2000.
ps (0.7 MB)
zip (0.2 MB)
137 L. Arkeryd: "On the stationary Boltzmann equation in Rn",
Int. Math. Res. Not. 12, 2000.
ps (0.4 MB)
zip (0.1 MB)
138 V. Comincioli, G. Naldi, T. Scapolla, G. Toscani: "Multiscale hyperbolic equations: Numerical approximation in the diffusive regime",
in Recent Trends in Numerical Analysis, L. Brugnano and D. Trigiante Eds., Nova Science Publishers, 2001.
ps (n/a)
zip (1.1 MB)
139 C.R. Drago, A. Majorana: "The velocity overshoot in semiconductors according to a transport model derived from the Boltzmann Equation",
2000.
ps (0.7 MB)
zip (0.2 MB)
140 P. Bechouche, J. Nieto, E. Ruiz Arriola, J. Soler: "On the Time Evolution of the Mean-Field Polaron",
J. Math. Phys., Vol 41, 4293-4312, 2000.
ps (0.6 MB)
zip (0.3 MB)
141 C. Ringhofer, J. Soler: "Discrete Schrödinger-Poisson Systems Preserving Energy and Mass",
Appl. Math. Letters 13, 27-32, 2000.
ps (0.6 MB)
zip (0.3 MB)
142 N. Ben Abdallah, M.L. Tayeb: "Asymptotique de Diffusion Pour le Système de Boltzmann-Poisson 1D",
C. R. Acad. Sci. Paris Sér. I Math. 329(8), 735--740, 1999.
ps (0.1 MB)
zip (46 KB)
143 N. Ben Abdallah, H. Chaker: "The high field asymptotics for degenerate semiconductors",
Math. Models Methods Appl. Sci. 11(7), 1253--1272, 2001.
ps (0.2 MB)
zip (62 KB)
145 F. Deluzet: "Mathematical Modeling of Plasma Opening Switches",
2000.
ps (n/a)
zip (2.7 MB)
146 P. Degond, K. Zhang: "Diffusion approximation of a scattering matrix model of semiconductor superlattices",
2000.
ps (0.3 MB)
zip (0.1 MB)
147 P. Degond, S. Mancini: "Diffusion driven by collisions with the boundary",
Asymptotic Analysis, 27, 47-73, 2001.
ps (0.3 MB)
zip (0.1 MB)
148 L.L. Bonilla, C.J. Vicente, F. Ritort, J. Soler: "Exact solutions and dynamics of globally coupled phase oscillators",
to appear in Physica D, 2001.
ps (1.3 MB)
zip (0.7 MB)
149 E. Polizzi, N. Ben Abdallah: "Space lateral transfer and negative differential conductance regimes in quantum waveguide junctions",
to appear in Journal of Applied Physics, 2000.
ps (n/a)
zip (1.7 MB)
150 I. Gasser, D. Levermore, P.A. Markowich, C. Schmeiser: "The Initial Time Layer Problem and the Quasineutral Limit in the Semiconductor Drift-Diffusion Model",
Eur. J. Appl. Math. 12, 497-512, 2001.
ps (0.2 MB)
zip (0.1 MB)
151 I. Choquet, P. Degond, C. Schmeiser: "Hydrodynamic model for charge carriers involving strong ionization in semiconductors",
2000.
ps (0.2 MB)
zip (0.1 MB)
152 I. Choquet, P. Degond, C. Schmeiser: "Energy-transport models for charge carriers involving impact ionization in semiconductors",
2000.
ps (0.3 MB)
zip (0.1 MB)
153 S.F. Liotta, A. Majorana: "High Field Moboility and Diffusivity of an Electron Gas in Silicon Devices",
2000.
ps (0.5 MB)
zip (0.1 MB)
154 V. Panferov: "On the Existence of Stationary Solutions to the Povzner Equation in a Bounded Domain",
2000.
ps (0.8 MB)
zip (0.2 MB)
155 I. Gasser, P. Szmolyan: "The Frozen Flow and the Equilibrium Flow Limits in a Polyatomic Gas with Relaxation Effects",
Math. Models Methods Appl. Sci., Vol. 11(1), 87-104, 2001.
ps (0.3 MB)
zip (0.1 MB)
156 I. Gasser: "The Initial Time Layer Problem and the Quasineutral Limit in a Nonlinear Drift Diffusion Model for Semiconductors",
to appear in Nonlin. Diff. Eq. Appl., 1999.
ps (0.2 MB)
zip (0.1 MB)
157 I. Gasser: "Traveling Wave Solutions for a Quantum Hydrodynamic Model",
Hamburger Beiträge zur Angew. Math., Reihe A, preprint 146 (1999),
to appear in Appl. Math. Lett., 2000.
ps (0.1 MB)
zip (60 KB)
158 A.I. Khisamutdinov, A. Heintz: "Numerical experiment for unsteady motions of a rarefied gas caused by initially non-equilibrium states and nonuniform boundary conditions",
2000.
ps (n/a)
zip (2.0 MB)
159 A.V. Bobylev, G.L. Caraffini, G. Spiga: "Non-stationary Two-Dimensional Potential Flows by the Broadwell Model Equations",
2000.
ps (0.6 MB)
zip (0.1 MB)
160 A.V. Bobylev, C. Cercignani: "On the rate of entropy production for the Boltzmann Equation",
Journal of Statistical Physics, 94(3-4):603-618, 1999.
ps (0.1 MB)
zip (42 KB)
161 A. Heintz: "On the possibility of kinetic flow through holes in a surface",
2000.
ps (0.5 MB)
zip (0.1 MB)
162 C. Buet, S. Cordier, P. Degond, M. Lemou: "Fast algorithms for numerical, conservative and entropy approximations of the Fokker-Planck-Landau equation",
J. comput. Phys, 133, pp. 310-322, 1997.
ps (0.5 MB)
zip (0.1 MB)
163 M. Lemou: "Multiple expansions for the Fokker-Planck equation",
Num. Math., 78, pp. 597-618, 1998.
ps (0.3 MB)
zip (0.1 MB)
164 O. Bokanowski, M. Lemou: "Fast multipole method for multidimensional integrals",
C. R. Acad. Sci. Paris, t. 326, Série I, pp. 105-110, 1998.
ps (0.1 MB)
zip (36 KB)
165 M. Lemou: "Numerical algorithms for axisymmetric Fokker-Planck-Landau operators",
J. comput. Phys, 157, pp. 762-786, 2000.
ps (0.9 MB)
zip (0.3 MB)
166 M. Lemou: "Linearized quantum and relativistic Fokker-Planck-Landau equations",
to appear in M2AS, 2000.
ps (0.2 MB)
zip (0.1 MB)
167 P. Degond, M. Lemou: "On the viscosity and thermal conduction of fluids with multivalued internal energy",
European J. Mech. B/fluids, 20, 303-327, 2001.
ps (0.2 MB)
zip (0.1 MB)
168 A. Jüngel: "Quasi-hydrodynamic semiconductor equations.",
Progress in Nonlinear Differential Equations, Birkhäuser, 2001.
book n/a
for download
169 F. Bouchut, F. Golse, M. Pulvirenti: "Kinetic equations and asymptotic theories",
to appear at Elsevier Series in Applied Math. Number 4, April 2000.
book n/a
for download
170 N. Bournaveas, B. Perthame: "Averages over Spheres for Kinetic Transport Equations",
preprint 2000.
not yet
available
171 F. Golse, B. Wennberg: "On the Distribution of Free Path Length for the Periodic Lorentz Gas II",
Math. Mod. Num. anal. 34 no 6. 1151-1164 (2000)
ps (0.3 MB)
zip (0.1 MB)
172 F. Berthelin, F. Bouchut: "Solution with finite energy to a BGK system relaxing to isentropic gas dynamics",
2000.
ps (0.3 MB)
zip (0.1 MB)
173 F. Berthelin, F. Bouchut: "Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics",
2000.
ps (0.3 MB)
zip (0.1 MB)
174 O. Muscato: "The Onsager Reciprocity Principle as a check of consistency for semiconductor carrier transport models",
accepted for pubblication in Physica A, 2000.
ps (0.5 MB)
zip (0.2 MB)
175 O. Muscato, V. Romano: "Simulation of submicron silicon diodes with a non-parabolic hydrodynamical model based on the maximum entropy principle",
accepted for publication in the Proceedings of the IWCE-7, Glasgow (UK), 2000.
ps (0.3 MB)
zip (0.1 MB)
176 M.A. Anile, J.A. Carrillo, I.M. Gamba, C.-W. Shu: "Approximation of the BTE by a relaxation-time operator: simulations for a 50nm-channel Si diode",
to appear in VLSI design, 2000.
ps (0.9 MB)
zip (0.3 MB)
177 P. Degond, A. Jüngel: "High-Field Approximations of the Energy-Transport Model for Semiconductrs with Non-Parabolic Band Structure",
Zeitschrift für Angewandte Mathematik und Physik, 52, 1053-1070, 2001.
ps (0.3 MB)
zip (0.1 MB)
178 C. van der Mee: "Time-dependent Kinetic Equations with Collision Terms Relatively Bounded with respect to the Collision Frequency",
submitted to TTSP, 2000.
ps (0.2 MB)
zip (0.1 MB)
179 P. Degond, T. Goudon, F. Poupaud: "Diffusion Limit for non Homogeneous and Non-Micro-Reversible Processes",
Indiana University Math. J., 49, 1175-1198, 2000.
ps (0.2 MB)
zip (0.1 MB)
180 P. Degond, M. Lemou: "Towards a kinetic model of turbulent incompressible fluids",
to appear in Hyperbolic problems, theory, numerics and applications:
8th international conference in Magdeburg, February-March 2000, H. Freistueler and G. Warnecke (eds), Birkhauser, 2001.
ps (0.1 MB)
zip (48 KB)
181 P. Degond, M. Lemou, M. Picasso: "Viscoelastic fluid models derived from kinetic equations for polymers",
to appear in SIAM Appl. Math., 2002.
ps (0.2 MB)
zip (0.1 MB)
182 P. Degond, A. Klar: "A relaxation approximation for transport equations in the diffusive limit",
Appl. Math. Lett. 15/B>(2), 131-135, 2002.
ps (68 KB)
zip (28 KB)
183 J. Banasiak, G. Frosali, G. Spiga: "Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits - reference manual",
preprint, submitted to Transport Theory and Statistical Physics, 2000.
ps (0.5 MB)
zip (0.2 MB)
184 S. Hern, A. Anile, N. Nikiforakis: "A Mesh Refinement Approach for Hydrodynamical Semiconductor Simulations",
submitted, 2000.
ps (0.5 MB)
zip (0.2 MB)
185 J. Carrillo, I. Gamba, O. Muscato, C-W. Shu: "Comparison of Monte Carlo and deterministic simulations of a silicon diode",
to appear in AMS - IMA Series, 2000.
ps (0.9 MB)
zip (0.2 MB)
186 X. Antoine, C. Besse: "Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation",
accepted for publication in "Journal de Mathématiques Pures et Appliquées", 2001.
ps (0.5 MB)
zip (0.2 MB)
187 G. Galiano, M. Garzón, A. Jüngel: "Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics",
to appear in Rev. Real Acad. Ciencias Serie A. Mat., 2002.
ps (0.4 MB)
zip (0.1 MB)
188 G. Galiano, M. Garzón, A. Jüngel: "Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model",
to appear in Numer. Math., 2002.
ps (0.3 MB)
zip (0.1 MB)
189 A. Jüngel, G. Toscani: "Exponential time decay of solutions to a nonlinear fourth-order parabolic equation",
to appear in Z. Angew. Math. Phys., 2001.
ps (0.2 MB)
zip (0.1 MB)
190 I. Gamba, A. Jüngel: "Asymptotic limits for quantum trajectory models",
to appear in Commun. P. D. E., 2001.
ps (0.3 MB)
zip (0.1 MB)
191 A. Jüngel, S. Tang: "A Discrete BGK Approximation of Hydrodynamic Equations for Semiconductors",
2001.
ps (2.6 MB)
zip (0.5 MB)
192 J.A. Carrillo, G. Toscani: "Intermediate asymptotics for strong solutions of the thin film equation",
to appear in Comm. Math. Phys. 225, 551-571, 2002.
ps (0.3 MB)
zip (0.1 MB)
193 M. Ehrhardt, A. Arnold: "Discrete Transparent Boundary Conditions for the Schrödinger Equation",
Revista di Matematica della Universita di Parma 6/4, 57-108, 2001.
ps (0.9 MB)
zip (0.2 MB)
194 L. Arkeryd, A. Nouri: "The stationary Boltzmann equation in Rn with given indata",
to appear in "Annali della Scuola Normale Superiori di Pisa Classe di Scienze", 2002.
ps (0.6 MB)
zip (0.1 MB)
195 A.M. Anile, S.D. Hern: "Two-Valley Hydrodynamical Models for Electron Transport in Gallium Arsenide: Simulation of Gunn Oscillations",
submitted to VLSI-Design, 2001.
ps (1.0 MB)
zip (0.3 MB)
196 C. Schmeiser, A. Zwirchmayr: "Elastic and drift-diffusion limits of electron-phonon interaction in semiconductors",
Math. Models and Meth. in Appl. Sci. 8, 37--53, 1998.
ps (0.2 MB)
zip (0.1 MB)
197 I. Gasser, R. Illner, P.A. Markowich, C. Schmeiser: "Semiclassical, t to infinity asymptotics and dispersive effects for Hartree-Fock systems",
M2AN, 32, 699-713, 1998.
ps n/a
zip n/a
198 C. Schmeiser, A. Zwirchmayr: "Convergence of moment methods for linear kinetic equations",
SIAM J. Num. Anal., 36, 74-88, 1998.
ps (0.7 MB)
zip (0.1 MB)
199 C. Ringhofer, C. Schmeiser, A. Zwirchmayr: "Moment methods for the semiconductor Boltzmann equation on bounded position domains",
SIAM J. Numer. Anal. 39, 1078-1095, 2001.
ps (0.4 MB)
zip (0.1 MB)
200 L. Desvillettes: "Boltzmann's Kernel and the Spatially Homogeneous Boltzmann Equation",
2001.
ps (0.2 MB)
zip (0.1 MB)
201 R. Pinnau: "Numerical Approximation of the Transient Quantum Drift Diffusion Model",
to appear, 2001.
ps (1.8 MB)
zip (0.3 MB)
202 M. Hinze, R. Pinnau: "An Optimal Control Approach to Semiconductor Design",
submitted, 2001.
ps (0.3 MB)
zip (0.1 MB)
203 C. Fermanian Kammerer, P. Gerard: "Mesures semi-classiques et croisement de modes",
2001.
ps (0.5 MB)
zip (0.1 MB)
204 C. Buet, S. Cordier: "Numerical analysis of the isotropic Fokker-Planck-Landau equation",
2001.
ps (1.3 MB)
zip (0.6 MB)
205 C. Buet, S. Cordier, P.A. Raviart: "Multifluid ionization models",
to appear in M3AS, 2001.
ps (1.5 MB)
zip (0.8 MB)
206 F. Bouchut: "Entropy satisfying flux vector splittings and kinetic BGK models",
2001.
ps (0.5 MB)
zip (0.2 MB)
207 N. Ben Abdallah, P. Degond, A. Mellet, F. Poupaud: "Electron transport in semiconductor superlattices",
to appear in Quarterly Appl. Math., 2002.
ps (0.4 MB)
zip (0.2 MB)
208 N. Ben Abdallah, P. Degond, I.M. Gamba: "Coupling one-dimensional time-dependent classical and quantum transport models",
J. Math. Phys. 43(1), 1-24, 2002.
ps (0.3 MB)
zip (0.1 MB)
209 N. Ben Abdallah, O. Pinaud: "Modélisation de l'évolution d'une diode à effet tunnel résonant sous l'effet d'une polarisation",
2001.
ps (0.1 MB)
zip (41 KB)
210 N. Ben Abdallah, H. Chaker: "The high field asymptotics for degenerate semiconductors: Initial and boundary layer analysis",
2001.
ps (0.4 MB)
zip (0.1 MB)
211 P. Laurençot, S. Mischler: "The continuous coagulation-fragmentation equations with diffusion",
2001.
ps (0.5 MB)
zip (0.2 MB)
212 P.-E. Jabin: "The Vlasov-Poisson system with infinite mass and energy",
2001.
ps (0.2 MB)
zip (0.1 MB)
213 P.-E. Jabin, B. Perthame: "Compactness in Ginzburg-Landau energy by kinetic averaging (Note)",
2001.
ps (0.1 MB)
zip (59 KB)
214 P.-E. Jabin, B. Perthame: "Compactness in Ginzburg-Landau energy by kinetic averaging",
2001.
ps (0.2 MB)
zip (0.1 MB)
215 L. Desvillettes, V. Ricci: "A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions",
to appear in J. Statist. Phys., 2001.
ps (1.2 MB)
zip (0.7 MB)
216 P. Degond, V. Latocha, S. Mancini, A. Mellet: "Diffusion dynamics of an electron gas confined between two plates",
to appear in Methods and Applications of Analysis, 2002.
ps (0.2 MB)
zip (0.1 MB)
217 P. Degond: "An Infinite System of Diffusion Equations Arising in Transport Theory: The Coupled Spherical Harmonics Expansion Model",
Math. Methods and Models in the Applied Sciences, 11, 903-923, 2001.
ps (0.3 MB)
zip (0.1 MB)
218 N. Ben Abdallah, P. Degond, I. Gamba: "Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation",
C. R. Acad. Sci. Paris Sér. I Math. 331, no. 12, 1023--1028, 2000.
ps (0.2 MB)
zip (0.1 MB)
219 S. Mischler: "On the trace problem for solutions of the Vlasov equation",
2001.
ps (0.3 MB)
zip (0.1 MB)
220 S. Mischler: "On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system",
2001.
ps (0.2 MB)
zip (0.1 MB)
221 S. Mischler: "Kinetic equations with Maxwell boundary condition",
2001.
ps (0.4 MB)
zip (0.2 MB)
222 M. Escobedo, S. Mischler: "On a Quantum Boltzmann equation for a gas of photons",
2001.
ps (0.5 MB)
zip (0.2 MB)
223 C. Buet, S. Cordier, F. Filbet: "Comparison of numerical schemes for Fokker-Planck-Landau equation",
ESAIM proceedings (European Series in Applied and Industrial Mathematics) Volume 11, "CEMRACS 1999", 2001.
ps (9.7 MB)
zip (0.7 MB)
224 S. Cordier, B. Lucquin-Desreux, A. Sabry: "Numerical method for Vlasov-Lorentz models",
ESAIM proceedings (European Series in Applied and Industrial Mathematics) Volume 11, "CEMRACS 1999", 2001.
ps (0.4 MB)
zip (0.1 MB)
225 A. Arnold, I. Gasser: "(Very) Fast Diffusion Equations",
to appear in "The PDE Coffee Table Book", Ed. L. Nick Trefethen, 2001.
ps (1.4 MB)
zip (0.3 MB)
226 P. Biler, J. Dolbeault, M.J. Esteban, P.A. Markowich, T. Nadzieja: "Steady States for Streater's Energy-transport Models of Self-Gravitating Particles",
to appear in IMA Volumes in Mathematics Series, Springer Verlag, 2001.
ps (3.1 MB)
zip (1.2 MB)
227 J.A. Carrillo, P.A. Markowich, A. Unterreiter: "Large-time asymptotics of porous medium type equations",
GAKUTO International series, Mathematical Sciences and Applications, Vol. 13, pp. 24-36, 2000.
ps n/a
zip n/a
228 M. Burger, H.W. Engl, P.A. Markowich, P. Pietra: "Identification of Doping Profiles in Semiconductor Devices",
Inverse Problems, 17(6), 1765-1795, 2001.
ps (2.1 MB)
zip (0.6 MB)
229 P.A. Markowich, G. Rein, G. Wolansky: "Existence and nonlinear stability of steady states of the Schrödinger-Poisson system",
to appear in JSP, 2002.
ps (0.2 MB)
zip (0.1 MB)
230 I. Gasser, L. Hsiao, P.A. Markowich, S. Wang: "Quasineutral limit of a nonlinear drift diffusion model for semiconductors",
to appear in J. Math. Anal. Appl., 2002.
ps (0.2 MB)
zip (0.1 MB)
231 H. Li, P. Markowich, M. Mei: "Asymptotic Behavior of Subsonic Shock Solutions of the Isentropic Euler-Poisson Equations",
to appear in Quarterly of Applied Mathematics, 2001.

zip (n/a)
232 W. Bao, S. Jin, P.A. Markowich: "Time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime",
to appear in JCP, 2002.
ps (8.9 MB)
zip (1.2 MB)
233 P. Markowich, P. Pietra, C. Pohl, H.P. Stimming: "A Wigner-Measure Analysis of the Dufort-Fraenkel Scheme for the Schrödinger Equation",
submitted, 2001.
ps (5.4 MB)
zip (0.9 MB)
234 I. Gasser, C.K. Lin, P.A. Markowich: "A Review of Dispersive Limits of (non)linear Schrödinger-Type Equations",
Taiwanese Journal. of Math., Vol.4, No.4, pp.501-529, 2000.
ps (n/a)
zip (n/a)
235 C. Lederman, P.A. Markowich: "On Fast-Diffusion Equations with Infinite Equilibrium Entropy and Finite Equilibrium Mass",
submitted, 2001.
ps (0.3 MB)
zip (0.1 MB)
236 H. Li, P.A. Markowich, M. Mei: "Asymptotic Behaviour of Solutions of the Hydrodynamic Model of Semiconductors",
to appear in Proc. of the Royal Society of Edinburgh, Section A, 2001.
ps (0.5 MB)
zip (0.1 MB)
237 J. Dolbeault, P.A. Markowich, A. Unterreiter: "On Singular Limits of Mean-Field Equations",
Arch. Rat. Mech. Anal., 158(4), 319-351, 2001.
ps (0.4 MB)
zip (0.2 MB)
238 F. Castella, L. Erdös, F. Frommlet, P.A. Markowich: "Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems",
to appear in J. Stat. Physics, Vol.100, Issue 3/4, pp.543-601, 2000.
ps (0.4 MB)
zip (0.2 MB)
239 L. Falk: "Existence of Solutions to the Stationary Linear Boltzmann Equation",
2001.
ps (0.6 MB)
zip (0.1 MB)
240 J.A. Carrillo, R.J. McCann, C. Villani: "Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates",
to appear in Revista Matemática Iberoamericana, 2002.
ps (0.5 MB)
zip (0.2 MB)
241 A. Jüngel, R. Pinnau: "Convergent Semidiscretization of a Nonlinear Fourth Order Parabolic System",
submitted, 2001.
ps (0.2 MB)
zip (0.1 MB)
242 J.L. López, J. Soler, G. Toscani: "Time rescaling and asymptotic behavior of some fourth order degenerate diffusion equations",
Comput. Math. Appl., 43, 721-736, 2002.
ps (0.2 MB)
zip (0.1 MB)
243 J.A. Carrillo, C. Lederman, P.A. Markowich, G. Toscani: "Poincaré Inequalities for Linearization of Very Fast Diffusion Equations",
Nonlinearity 15, 1-16, 2002.
ps (0.2 MB)
zip (0.1 MB)
244 A. Arnold, J. Dolbeault: "Refined Convex Sobolev Inequalities",
Preprint, 2002.
ps (0.2 MB)
zip (0.1 MB)
245 A. Arnold, J.A. Carrillo, M.D. Tidriri: "Large-time behavior of discrete kinetic equations with non-symmetric interactions",
to appear in Math. Mod. Methods Appl. Sc. 10/12 (2002).
ps (0.2 MB)
zip (0.1 MB)
246 P. Degond, M. Lemou, J.L. Lòpez: "Fluids with multivalued internal energy: The anisotropic case",
Submitted to IMA proceedings, University of Minesota (USA), 2001.
ps (0.2 MB)
zip (0.1 MB)
247 P. Degond, M. Lemou, M. Picasso: "Constitutive relations for viscoelastic models derived from kinetic theory",
Submitted to IMA proceedings, University of Minesota (USA), 2001.
ps (0.2 MB)
zip (0.1 MB)
248 F. Castella, P. Degond: "Convergence of the Von-Neuman equation towards the Quantum Boltzmann equation in a deterministic framework",
C. R. Acad. Sci., t. 329, sér. I, p. 231-236, 1999.
ps (0.1 MB)
zip (39 KB)
249 F. Castella: "From the Von-Neumann equation to the Quantum Boltzmann equation in a deterministic framework",
to appear in J. Stat. Phys., 2001.
ps (0.4 MB)
zip (0.2 MB)
250 J.-D. Benamou, F. Castella, T. Katsaounis, B. Perthame: "High frequency limit in the Helmholtz equation",
to appear in Rev. Mat. Iberoam., 2001.
ps (0.2 MB)
zip (0.1 MB)
251 F. Castella, B. Perthame, O. Runborg: "High frequency limit of the Helmholtz equation II: source on a general smooth manifold",
to appear in Comm. P.D.E., 2001.
ps (0.3 MB)
zip (0.1 MB)
252 J.A. Carrillo, J. Soler: "On the evolution of an angle in a Vortex Patch",
J. Nonlinear Science, 10, 23-47, 2000.
ps (n/a)
zip (n/a)
253 J.L. Lòpez, J. Soler: "Asymptotic behaviour to the 3-D Schrödinger/Hartree-Poisson and Wigner-Poisson systems",
Math. Mod. Meth. Appl. Sci., Vol. 10, 923-943, 2000.
ps (1.4 MB)
zip (0.8 MB)
254 J.L. Lòpez, J. Soler: "Large time asymptotics and stability of solutions to the 3-D Schrödinger-Poisson system: Space-time Wigner transforms and high frequency limit",
to appear in Diff. and Integral Equations, 2001.
ps (n/a)
zip (n/a)
255 E. Ruiz Arriola, J. Soler: "A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers and stability",
J. Stat. Phys. 103, 1069-1105, 2001.
ps (0.4 MB)
zip (0.1 MB)
256 L.L. Bonilla, J. Soler: "High-field limit of the Vlasov-Fokker-Planck system. A comparison of different perturbations methods",
to appear in Math. Mod. Meth. Appl. Sci., 2001.
pdf
zip (n/a)
257 P. Bechouche, J. Nieto, E. Ruiz Arriola, J. Soler: "On a variational approach to the time evolution of the mean field polaron",
to appear in Lecture Notes, Springer-Verlag, 2001.
ps (n/a)
zip (n/a)
258 L.L. Bonilla, E. Ruiz Arriola, J. Soler: "Quantum Kinetic Equation including phonon scattering",
to appear in Lecture Notes, Springer-Verlag, 2001.
pdf
zip (n/a)
259 J. Nieto, F. Poupaud, J. Soler: "High-field limit of the Vlasov-Fokker-Planck system",
to appear in Archive for Rational Mechanics and Analysis, 2001.
ps (n/a)
zip (n/a)
260 J. Nieto, F. Poupaud, J. Soler: "About uniqueness of weak solutions to scalar conservation law",
submitted, 2001.
ps (n/a)
zip (n/a)
261 J.L. Lòpez, O. Bokanowski, J. Soler: "On an Exchange Interaction Model for Quantum Transport: The Schrödinger-Poisson-Slater System",
submitted, 2001.
ps (n/a)
zip (n/a)
262 O. Sanchez, J. Soler: "Asymptotic behavior for the Schrödinger-Poisson-Slater system",
submitted, 2002.
ps (n/a)
zip (n/a)
263 J. Nieto: "A generalized mean field approach to the polaron",
to appear in Math. Mod. and Meth. in Appl. Sci., 2001.
ps (n/a)
zip (n/a)
264 G. Mascali, M. Trovato: "An extended fluid-dynamical model describing electron transport in semiconductors",
Proceedings of the ECMI 2000 Conference, da pubblicarsi su Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2000.
ps (0.3 MB)
zip (0.1 MB)
265 C. Drago, A. Majorana: "Time-depending solutions to spherical harmonic equations for semiconductor devices",
Proceedings of the ECMI 2000 Conference, to be published on Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2001.
ps (0.2 MB)
zip (50 KB)
266 A. Majorana, R.M. Pidatella: "A new finite difference scheme for the Boltzmann-Poisson system on semiconductor devices",
Proceedings of the ECMI 2000 Conference, to be published on su Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2001.
ps (1.6 MB)
zip (0.2 MB)
267 A. Majorana: "A comparison between bulk solutions to the Boltzmann equation and the spheric harmonic model for silicon devices",
Proceedings of the ECMI 2000 Conference, to be published on Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2001.
ps (0.3 MB)
zip (0.1 MB)
268 A.M. Anile, G. Mascali: "Theoretical Foundation for Tail Electron Hydrodynamical Models in Semiconductors",
Appl.Math.Lett., 14, No. 2, 245-252, 2001.
ps (n/a)
zip (n/a)
269 K. Domelevo: "Long Time Behavior for a Kinetic Modelling of Two-Phase Flows With Thin Sprays and Point Particles",
2001.
ps (0.3 MB)
zip (0.1 MB)
270 K. Domelevo, M.-H. Vignal: "Existence et unicité de solutions entropiques pour un système de type Fokker-Planck-Burgers unidimensionnel",
2001.
ps (0.1 MB)
zip (0.1 MB)
271 M. Asadzadeh: "The Fokker-Planck operator as an asymptotic limit in anisotropic media",
Preprint 2000:88, ISSN 0347-2809, Department of Mathematics, Chalmers University of Technology, Göteborg University, Göteborg, Sweden, 2000.
ps (0.3 MB)
zip (0.1 MB)
272 M. Asadzadeh, P. Kowalczyk: "Convergence of streamline diffusion methods for the Vlasov-Poisson-Fokker-Planck System",
Preprint 2001:25, ISSN 0347-2809, Department of Mathematics, Chalmers University of Technology, Göteborg University, Göteborg, Sweden, 2001.
ps (0.3 MB)
zip (0.1 MB)
273 0. Muscato: "Monte Carlo verification of an extended hydrodynamic model describing charge carrier transport in semiconductors",
to be published on Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2001.
ps (0.1 MB)
zip (50 KB)
274 I. Gasser: "A Note on Traveling Wave Solutions for a Quantum Hydrodynamic Model",
Appl. Math. Lett., Vol. 14(3), 279-283, 2001.
ps (n/a)
zip (n/a)
275 I. Gasser, P. Marcati: "The Combined Relaxation and Vanishing Debye Length Limit in the Hydrodynamic Model for Semiconductors",
Math. Meth. in the Appl. Sci., Vol. 24(2), 81-92, 2001.
ps (n/a)
zip (n/a)
276 I. Gasser, P. Marcati: "A Vanishing Debye Length Limit in a Hydrodynamic Model for Semiconductors",
to appear in Proceedings der HYP 2000, Magdeburg, 2001.
ps (0.1 MB)
zip (0.1 MB)
277 I. Gasser: "A Review on Small Debye Length and Quasi-neutral Limits in Macroscopic Models for Charged Fluids",
submitted, 2000.
ps (0.2 MB)
zip (0.1 MB)
278 A. Jüngel, M.C. Mariani, D. Rial: "Local Existence of Solutions to the Transient Quantum Hydrodynamic Equations",
to appear in Math. Models Meth. Appl. Sci., 2001.
ps (0.2 MB)
zip (0.1 MB)
279 A. Klar, A. Unterreiter: "Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes",
to appear in SIAM J. Num. Anal., 2002.
ps (0.2 MB)
zip (0.1 MB)
280 A. Aw, A. Klar, T. Materne, M. Rascle: "Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models",
2001.
ps (1.0 MB)
zip (0.2 MB)
281 A. Klar, R. Wegener: "Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic",
SIAM J. Appl. Math., 60, 1749-1766, 2000.
ps (0.5 MB)
zip (0.1 MB)
282 M. Günther, A. Klar, T. Materne, R. Wegener: "An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations",
Math. Comp. Modelling, 35, 591-606, 2002.
ps (0.3 MB)
zip (0.1 MB)
283 L. Pareschi, B. Wennberg: "A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case",
Monte Carlo Methods and Applications, 7(3-4), 349-357, 2001.
ps (0.2 MB)
zip (0.1 MB)
284 Xuguang Lu, B. Wennberg: "Solutions with increasing energy for the spatially homogeneous Boltzmann equation",
Nonlinear Analysis: RWA 3(2) 243-258 (2002).
ps (0.2 MB)
zip (0.1 MB)
285 A.V. Bobylev, M. Groppi, G. Spiga: "Aproximate solution to the problem of stationary shear flow of granular material",
preprint, to appear in Europ. J. Mech./B Fluids, 2001.
ps (2.4 MB)
zip (0.4 MB)
286 A.V. Bobylev, C. Cercignani: "Exact Eternal Solutions of the Boltzmann Equation",
2001.
ps (0.2 MB)
zip (0.1 MB)
287 A.V. Bobylev, C. Cercignani: "The Inverse Laplace Transform of Some Analytic Functions with an Application to the Eternal Solutions of the Boltzmann Equation",
2001.
ps (0.2 MB)
zip (0.1 MB)
288 O. Pinaud: "Transient simulations of a resonant tunneling diode",
2001.
ps (7.1 MB)
zip (1.1 MB)
289 B. Lucquin-Desreux, S. Mancini: "A finite element approximation of grazing collisions",
2001.
ps (0.5 MB)
zip (0.1 MB)
290 W. Koller, A. Rossani, F. Schürrer, G. Spiga: "A Conservative Multigroup Approach to the Nonlinear Boltzmann Equation",
Mech.Res.Comm., Vol. 28(2), 223-229, 2001.
ps (0.1 MB)
zip (50 KB)
291 W. Koller, A. Rossani, F. Schürrer, G. Spiga: "Overlapping Multigroup Approach to a Linear Extended Boltzmann Equation",
ZAMP 52, 231-253, 2001.
ps (1.5 MB)
zip (0.3 MB)
292 J.A. Carrillo, A. Jüngel, S. Tang: "Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic Equation",
submitted to Europ. J. Appl. Math., 2001.
ps (3.6 MB)
zip (0.6 MB)
293 S. Holst, A. Jüngel, P. Pietra: "A Mixed Finite-Element Discretization of the Energy-Transport Model for Semiconductors",
submitted, 2001.
ps (1.1 MB)
zip (0.3 MB)
294 B. Düring, M. Fournié, A. Jüngel: "High order compact finite difference schemes for a nonlinear Black-Scholes equation",
submitted, 2001.
ps (1.1 MB)
zip (0.2 MB)
295 J.A. Carrillo, T. Goudon: "A numerical study on large-time asymptotics of the Lifshitz-Slyozov system",
2001.
ps (9.3 MB)
zip (0.6 MB)
296 L. Arkeryd: "A discussion of some recent results on stationary boundary value problems for equations of Boltzmann type",
2001.
ps (0.5 MB)
zip (0.1 MB)
297 H. Andréasson, G. Rein, A.D. Rendall: "On the Einstein-Vlasov system with hyperbolic symmetry",
submitted to Math. Proc. Camb. Phil. Soc., 2001.
ps (0.3 MB)
zip (0.1 MB)
298 N. Ben Abdallah, J. Dolbeault: "Relative Entropies For Kinetic Equations In Bounded Domains ( irreversibility, stationary solutions, uniqueness)",
C. R. Acad. Sci. Paris Sér. I Math. 330(10), 867--872, 2000.
ps (0.5 MB)
zip (0.2 MB)
299 M.J. Cáceres, J.A. Carrillo, J. Dolbeault: "Nonlinear stability in LP for solutions of the Vlasov-Poisson system for charged particles.",
to appear in SIAM J. Appl. Math., 2002.
ps (0.3 MB)
zip (0.1 MB)
300 F. Berthelin, F. Bouchut: "Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation",
2001.
ps (0.3 MB)
zip (0.1 MB)
301 F. Bouchut: "Renormalized solutions to the Vlasov equation with coefficients of bounded variation",
2001.
ps (0.3 MB)
zip (0.1 MB)
302 P.-E. Jabin, F. Otto, B. Perthame: "Line-energy Ginzburg-Landau models: zero-energy states",
to appear in Ann. Scuola Norm. Sup. Pisa, 2001.
ps (0.2 MB)
zip (0.1 MB)
303 P.-E. Jabin: "Various levels of models for aerosols",
to appear in a special issue of Math. Models Methods Appl. Sci., 2001.
ps (0.3 MB)
zip (0.1 MB)
304 P.-E. Jabin, B. Perthame: "Regularity in kinetic formulations via averaging lemmas",
preprint, 2001.
ps (0.3 MB)
zip (0.1 MB)
305 C. Baranger: "Collisions, coalescences et fragmentations des gouttelettes dans un spray: écriture précise des équations relatives au modèle TAB",
2001.
ps (0.4 MB)
zip (0.1 MB)
306 R. Grzibovskis: "On one approximation scheme for generalised mean curvature flow",
licentiate thesis, Chalmers University of Technology, Göteborg, Sweden, 2002.
ps (9.9 MB)
zip (1.2 MB)
307 B. Lucquin-Desreux: "The Milne problem for the linear Fokker-Planck operator with a force term",
2001.
ps (0.6 MB)
zip (0.2 MB)
308 E.A. Carlen, M.C. Carvalho, E. Orlandi: "A simple proof of stability of front for the Cahn--Hilliard equation",
Commun. Math. Phys. 224, 323--340, 2001.
ps (0.8 MB)
zip (0.4 MB)
309 E.A. Carlen, M.C. Carvalho, M. Loss: "Many-Body Aspects of Approach to Equilibrium",
Equations aux Derivées Partielles (La Chapelle sur Erdre, 2000), Exp. No.XXI, 12 pp., Univ. Nantes, Nantes, 2000.
ps (0.2 MB)
zip (0.1 MB)
310 E.A. Carlen, M.C. Carvalho, M. Loss: "Determination of the Spectral Gap for the Kac's Master Equation and Related Stochastic Evolutions",
submitted to Acta Mathematica, 2001.
ps (0.6 MB)
zip (0.2 MB)
311 V. Romano: "2D simulation of a silicon MESFET with a non-parabolic hydrodynamical model based on the maximum entropy principle",
to appear in J. Comp. Phys., 2001.
ps (8.0 MB)
zip (1.3 MB)
312 V. Romano, A. Valenti: "Symmetry analysis and exact invariant solutions for a class of energy-transport models of semiconductors",
to appear in J.Phys. A: mathematical and general, 2001.
ps (0.2 MB)
zip (0.1 MB)
313 M. Groppi, G. Spiga: "On the linear Boltzmann equation with Inelastic Scattering",
Applied Mathematics Letters 15(1), 29-34, 2002.
ps (1.4 MB)
zip (0.3 MB)
314 M. Groppi, G. Spiga: "Particle Transport in Inelastic Scattering Media",
in "Rarefied Gas Dynamics: 22nd International Symposium", T.J. Bartel and M.A. Gallis Editors, AIP Conference Proceedings 585, Melville, New York, 75-81, 2001.
ps (1.4 MB)
zip (0.3 MB)
315 M. Groppi, W. Koller: "Kinetic calculations for chemical reactions and inelastic transitions in a gas mixture",
Z. Angew. Math. Phys. (ZAMP) 53(5), 2002.
ps (3.2 MB)
zip (0.5 MB)
316 M. Bisi, M. Groppi, G. Spiga: "Grad's distribution functions in the kinetic equations for a chemical reaction",
to appear in Continuum Mech. Thermodynamics, 2001.
ps (2.9 MB)
zip (0.5 MB)
317 M. Bisi, M. Groppi, G. Spiga: "Grad's closure in the kinetic theory of a chemically reacting gas",
to appear in "Proceedings of the XI International Conference on Waves and Stability in Continuous Media" (Porto Ercole June 3-9, 2001), World Scientific, Singapore, 2001.
ps (1.9 MB)
zip (0.4 MB)
318 M. Groppi, A. Rossani, G. Spiga: "Generalized quasi-classical Boltzmann equation for a reacting gas",
submitted to Transport Theory and Statistical Physics, 2001.
ps (2.4 MB)
zip (0.4 MB)
319 K. Fellner, F. Poupaud, C. Schmeiser: "Existence and convergence to equilibrium of a kinetic model for cometary flows",
to appear in J. Stat. Phys., 2002.
ps (0.2 MB)
zip (0.1 MB)
320 P. Degond, D. Levermore, C. Schmeiser: "A note on the Energy-Transport limit of the semiconductor Boltzmann equation",
to appear in the Proc. of the workshop: "Simulation of Transport in Transition Regimes", IMA, Minneapolis, 2000.
ps (0.2 MB)
zip (0.1 MB)
321 M. Burger, H. Engl, P.A. Markowich: "Inverse Doping Problems for Semiconductor Devices",
to appear in: Proc. International Symposium on Computational and Applied PDEs (Zhangjiajie, China, July 2001), 2002.
ps (0.2 MB)
zip (0.1 MB)
322 P.A. Markowich, Shi Jin, Bao Weizhu: "Numerical Study of time-splitting spectral Discretisations of nonlinear Schrödinger Equations in the Semiclassical Regimes",
submitted, 2001.
ps (n/a)
zip (16.2 MB)
323 C. Sparber, P.A. Markowich, N. Mauser: "Multivalued Geometrical Optics: Wigner Functions versus WKB-Methods",
submitted, 2001.
ps (0.4 MB)
zip (0.2 MB)
324 V. Imaikin, A. Komech, P.A. Markowich: "Scattering of Solitons of the Klein-Gordon Equation Coupled to a Classical Particle",
submitted, 2001.
ps (0.3 MB)
zip (0.1 MB)
325 G. Mascali, V. Romano: "Hydrodynamical model of charge transport in GaAs based on the maximum entropy principle",
to appear in Cont. Mechan. and Thermodyn., 2002.
ps (0.5 MB)
zip (0.1 MB)
326 A. Arnold, J. Carrillo, E. Dhamo: "On the periodic Wigner-Poisson-Fokker-Planck system",
submitted to ZAMP, 2002.
ps (0.2 MB)
zip (0.1 MB)
327 A. Jüngel, H. Li: "Quantum Euler-Poisson Systems: Existence of Stationary States",
submitted to Proc. Math. Soc. Edinburgh, 2001.
ps (0.3 MB)
zip (0.1 MB)
328 S. Cordier, B. Lucquin-Desreux, S. Mancini: "Focalization: A numerical test for smoothing effects of collision operators",
2002.
ps (0.2 MB)
zip (0.1 MB)
329 C. Buet, S. Cordier, B. Lucquin-Desreux, S. Mancini: "Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes",
2002.
ps (0.4 MB)
zip (0.1 MB)
330 F. Castella: "From the von Neumann Equation to the Quantum Boltzmann Equation II:
Identifying the Born Series",
to appear in J. Stat. Phys., 2002.
ps (0.2 MB)
zip (0.1 MB)
331 N. Ben Abdallah, P. Degond, P.A. Markowich: "The Quantum Child Langmuir Problem",
Nonlinear Analysis, Theory, Methods, and Applications 31, 629-648, 1998.
ps (0.3 MB)
zip (0.1 MB)
332 N. Ben Abdallah, P. Degond, F. Méhats: "Mathematical Models of Magnetic Insulation",
Physics of Plasmas 5, 1522-1534, 1998.
ps (0.7 MB)
zip (0.2 MB)
333 N. Ben Abdallah, P. Degond, F. Méhats: "The Child-Langmuir asymptotics for magnetized flows",
Asymptotic Analysis, 20, 97-132, 1999.
ps (0.5 MB)
zip (0.2 MB)
334 C. Buet, S. Cordier, P. Degond: "On regularized Boltzmann operators",
Computer and Mathematics with applications, 35, 55-74, 1998.
ps (0.3 MB)
zip (0.1 MB)
335 P. Degond: "A model of near-wall conductivity and its application to plasma thrusters",
SIAM J. Appl. Math., 58, 1138-1162, 1998.
ps (0.3 MB)
zip (0.1 MB)
336 P. Degond, A. El Ayyadi: "A coupled Schrödinger Drift-Diffusion model for quantum semiconductor device simulations",
submitted, 2002.
ps (0.7 MB)
zip (0.2 MB)
337 P. Degond, M. Lemou: "Turbulence models for incompressible fluids derived from kinetic theory",
to appear in Journal of Mathematical Fluid Mechanics, 2002.
ps (0.4 MB)
zip (0.1 MB)
338 P. Degond, R. Talaalout, M.-H. Vignal: "Electron Transport and Secondary Emission in a Surface of Solar Cell",
proceedings of the conference "Multipactor, RF and DC corona and passive intermodulation in space RF hardware", ESTEC, Noordwijk, The Netherlands, Sept 4-6, 2000.
ps (13.1 MB)
zip (3.0 MB)
339 V. Latocha, L. Garrigues, P. Degond, J.P. Boeuf: "Numerical Simulation of Electron Transport in the Channel Region of a Stationary Plasma Thruster",
Plasma Sources Science and Technology, 11, 104-114, 2002.
ps (6.0 MB)
zip (0.4 MB)
340 L. Gosse, G. Toscani: "An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations",
CRAS Série I, 334, 1-6, 2002.
ps (0.2 MB)
zip (0.1 MB)
341 L. Gosse, G. Toscani: "Space localization and well-balanced schemes for discrete kinetic models in diffusive regimes",
preprint, 2002.
ps (0.4 MB)
zip (0.1 MB)
342 G. Naldi, L. Pareschi, G. Toscani: "Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit",
preprint, 2002.
ps (0.9 MB)
zip (0.3 MB)
343 M.K. Banda, A. Klar, L. Pareschi, M. Seaïd: "Lattice-Botzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations",
preprint, 2001.
ps (2.9 MB)
zip (0.6 MB)
344 L. Pareschi: "Central differencing based numerical schemes for hyperbolic conseration laws with relaxation terms",
to appear in SIAM J. Numer. Anal., 2002.
ps (1.4 MB)
zip (0.2 MB)
345 L. Pareschi, G. Russo: "Time relaxed Monte Carlo methods for the Boltzmann equation",
to appear in SIAM J. Sci. Comp., 2002.
ps (0.9 MB)
zip (0.3 MB)
346 L. Pareschi, G. Russo, G. Toscani: "Fast Spectral Methods for the Fokker-Planck-Landau Collision Operator",
J. Comp. Phys., 165, 216-236, 2000.
ps (0.5 MB)
zip (0.1 MB)
347 C. Vill