A



356 N. Ben Abdallah, C. Negulescu: "A one dimensional quantum transport model with small coherence lengths",
to appear in TTSP, 2002.
ps (0.3 MB)
zip (0.1 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)
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)
360 N. Ben Abdallah, M.L. Tayeb: "Diffusion Approximation for the one dimensional Boltzmann-Poisson system",
C. R. Acad. Sci. Paris Sér. I Math. 329(8), 735--740, 1999.
ps (0.3 MB)
zip (0.1 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)
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)
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)
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)
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)
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)
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)
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)
357 E. Polizzi, N. Ben Abdallah: "Self-consistent three dimensional models for quantum ballistic transport in open systems",
submitted, 2002.
ps (11.4 MB)
zip (0.7 MB)
358 N. Ben Abdallah, F. Méhats: "Semiclassical Analysis Schrödinger equation with a partially confining potential",
submitted, 2002.
ps (0.4 MB)
zip (0.2 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)
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)
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)
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)
359 N. Ben Abdallah, I. Gamba, A. Klar: "The Milne problem for high field kinetic semiconductor equations",
submitted, 2002.
ps (0.3 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)
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)
90 R. Alexandre, L. Desvillettes, C. Villani, B. Wennberg: "Entropy Disspation and Long-Range Interactions",
1999.
ps (1.3 MB)
zip (0.7 MB)
133 R. Alexandre, C. Villani: "On the Boltzmann Equation for long-range interactions",
preprint, 2000.
ps (0.4 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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
137 L. Arkeryd: "On the stationary Boltzmann equation in Rn",
Int. Math. Res. Not. 12, 2000.
ps (0.4 MB)
zip (0.1 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)
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)
370 A. Arnold "Entropy method and the large-time behavior of parabolic equations" ps.gz (0.3 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)
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)
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)
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)
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)
354 A. Arnold, M. Ehrhardt, I. Sofronov: "Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability",
2002.
submitted to Commun. Mathematical Sciences
ps.gz (1.0 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)
365 A. Arnold, A. Unterreiter: "Entropy Decay of Discretized Fokker-Planck Equations I - Temporal Semi-Discretization",
submitted to Appl. Math. Letters, 2002.
ps (0.3 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)
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)
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)
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)
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)
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)
244 A. Arnold, J. Dolbeault: "Refined Convex Sobolev Inequalities",
Preprint, 2002.
ps (0.2 MB)
zip (0.1 MB)
366 A. Arnold, M. Ehrhardt, I. Sofronov: "A fast method to implement non-local discrete transparent boundary conditions for the Schrödinger equation",
to appear in Proceedings of GAMM 2002, April 2002, Augsburg, Germany
ps (0.3 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)
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)
363 M. Asadzadeh, A. Sopasakis: "Convergence of hp-streamline-diffusion schemes for Vlasov-Fokker-Planck equation",
Preprint 2001:25, Department of Mathematics, Gothenburg Submitted to RAIRO; Mathematical Modelling and Numerical Analysis.
ps (0.2 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)
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)
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)
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)


B



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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
368 L. L. Bonilla, O. Sanchez, J. Soler "Nonlinear stochastic discrete drift-diffusion theory of charge fl uctuations and domain relocation times in semiconductor superlattices" pdf
zip n/a
367 D. Sanchez, G. Platero, L. Bonilla "Quasiperiodic current and strange attractors in ac-driven superla ttices" pdf
zip n/a
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)
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)
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)
zip (n/a)
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)
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)
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)
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)
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)
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)
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)
206 F. Bouchut: "Entropy satisfying flux vector splittings and kinetic BGK models",
2001.
ps (0.5 MB)
zip (0.2 MB)
100 F. Bouchut: "Introduction to the mathematical theory of kinetic equations",
1999.
ps (0.3 MB)
zip (0.1 MB)
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
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)
89 F. Bouchut: "On transport equations and the chain rule",
Preprint, 1999.
ps (0.2 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)
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)
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)
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)
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)
170 N. Bournaveas, B. Perthame: "Averages over Spheres for Kinetic Transport Equations",
preprint 2000.
not yet
available
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)
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)
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)
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)
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)
205 C. Buet, S. Cordier, P.A. Raviart: "Multifluid ionization models",
to appear in M3AS, 2001.
ps (1.5 MB)
zip (0.8 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)
204 C. Buet, S. Cordier: "Numerical analysis of the isotropic Fokker-Planck-Landau equation",
2001.
ps (1.3 MB)
zip (0.6 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)
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)
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)
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)
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)


C



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)
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)
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)
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)
355 E. Caglioti, C. Villani: "Homogeneous Cooling States are not always good approximations to granular flows",
accepted for publication in the Archives of Rational Mechanics and Analysis, 2002.
ps (0.2 MB)
zip (0.1 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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
238 F. Castella, L. Erdös, F. Frommlet, P.A. Markowich: "Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems",
J. Stat. Physics, Vol.100, Issue 3/4, pp.543-601, 2000.
ps (0.4 MB)
zip (0.2 MB)
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)
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)
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)
286 A.V. Bobylev, C. Cercignani: "Exact Eternal Solutions of the Boltzmann Equation",
2001.
ps (0.2 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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
205 C. Buet, S. Cordier, P.A. Raviart: "Multifluid ionization models",
to appear in M3AS, 2001.
ps (1.5 MB)
zip (0.8 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)
204 C. Buet, S. Cordier: "Numerical analysis of the isotropic Fokker-Planck-Landau equation",
2001.
ps (1.3 MB)
zip (0.6 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)
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)
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)


D



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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
145 F. Deluzet: "Mathematical Modeling of Plasma Opening Switches",
2000.
ps (n/a)
zip (2.7 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)
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)
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)
200 L. Desvillettes: "Boltzmann's Kernel and the Spatially Homogeneous Boltzmann Equation",
2001.
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)
33 L. Desvillettes, F. Golse: "On a Model Boltzmann Equation without Angular Cutoff",
Preprint 98/01 de l'Universit\'e d'Orl\'eans, D\'epartement de Math\'ematiques, to appear in Differential and Integral Equations.
ps (0.2 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)
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)
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)
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)
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)
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)
351 M. del Pino, J. Dolbeault: "Asymptotic Behavior of Nonlinear Diffusions",
preprint Ceremade no. 0127, 2002.
ps (0.3 MB)
zip (0.1 MB)
353 M. del Pino, J. Dolbeault: "Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions",
preprint Ceremade no. 0119, to appear in Journal de Mathématiques Pures et Appliquées, 2002.
ps (0.7 MB)
zip (0.1 MB)
116 N. BenAbdallah, 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)
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)
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)
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)
350 M. Del Pino, J. Dolbeault: "Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian",
preprint Ceremade no. 0126, to appear in C. R. Acad. Sci., Paris, Sér. I, Math., 2002.
ps (0.1 MB)
zip (46 KB)
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)
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)
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)
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)
244 A. Arnold, J. Dolbeault: "Refined Convex Sobolev Inequalities",
Preprint, 2002.
ps (0.2 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)
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)
352 M. del Pino, J. Dolbeault: "The Optimal Euclidean Lp logarithmic inequality",
preprint Ceremade no. 0120, 2002.
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)
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)
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)
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)
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)
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)
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)
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)


E



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)
354 A. Arnold, M. Ehrhardt, I. Sofronov: "Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability",
2002.
submitted to Commun. Mathematical Sciences
ps.gz (1.0 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)
366 A. Arnold, M. Ehrhardt, I. Sofronov: "A fast method to implement non-local discrete transparent boundary conditions for the Schrödinger equation",
to appear in Proceedings of GAMM 2002, April 2002, Augsburg, Germany
ps (0.3 MB)
zip (0.1 MB)
228 M. Burger, H. 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)
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)
238 F. Castella, L. Erdös, F. Frommlet, P.A. Markowich: "Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems",
J. Stat. Physics, Vol.100, Issue 3/4, pp.543-601, 2000.
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)
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)
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)


F



239 L. Falk: "Existence of Solutions to the Stationary Linear Boltzmann Equation",
2001.
ps (0.6 MB)
zip (0.1 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)
203 C. Fermanian Kammerer, P. Gerard: "Mesures semi-classiques et croisement de modes",
2001.
ps (0.5 MB)
zip (0.1 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)
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)
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)
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)
238 F. Castella, L. Erdös, F. Frommlet, P.A. Markowich: "Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems",
J. Stat. Physics, Vol.100, Issue 3/4, pp.543-601, 2000.
ps (0.4 MB)
zip (0.2 MB)
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)


G



369 E. Gabetta, B. Perthame "Scaling limits for the Ruijgrok-Wu model of the Boltzmann equation", Mathematical Methods in the Applied Sciences 2001; 24 (949-967). ps
zip n/a
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
121 J.A. Carrillo, C. Cercignani, I. 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)
359 N. Ben Abdallah, I. Gamba, A. Klar: "The Milne problem for high field kinetic semiconductor equations",
submitted, 2002.
ps (0.3 MB)
zip (0.1 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)
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)
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)
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)
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)
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)
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)
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)
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)
197