| 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) |
| 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) |
| 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) |
| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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) |
| 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) |
| 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", 2000. |
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. |
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| 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. |
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| 100 | F. Bouchut: | "Introduction to the mathematical theory of kinetic
equations", 1999. |
ps (0.3 MB) zip (0.1 MB) |
| 301 | F. Bouchut: | "Renormalized solutions to the Vlasov equation with
coefficients of bounded variation", 2001. |
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| 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 |
| 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. |
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| 170 | N. Bournaveas, B. Perthame: | "Averages over Spheres for Kinetic Transport Equations", preprint 2000. |
not yet available |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 33 | L. Desvillettes, F. Golse: | "On a Model Boltzmann Equation without Angular Cutoff", 1999. |
ps (0.2 MB) zip (0.1 MB) |
| 32 | L. Desvillettes, M. Pulvirenti: | "The linear Boltzmann Equation for long-range forces:
A derivation from particle systems", to appear in Mathematical Models and Methods in Applied Sciences, 1999. |
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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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 |
| 171 | F. Golse, B. Wennberg: | "On the Distribution of Free Path Length for the Periodic
Lorentz Gas II", 2000. |
ps (0.3 MB) zip (0.1 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) |
| 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) |
| 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) |
| 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) |
| 98 | P.-E. Jabin: | "Large time concentrations for solutions to kinetic
equations with energy dissipation", 1999. |
ps (0.2 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 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) |
| 289 | B. Lucquin-Desreux, S. Mancini: | "A finite element approximation of grazing collisions", 2001. |
ps (0.5 MB) zip (0.1 MB) |
| 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) |
| 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) |
| 221 | S. Mischler: | "Kinetic equations with Maxwell boundary condition", 2001. |
ps (0.4 MB) zip (0.2 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) |
| 219 | S. Mischler: | "On the trace problem for solutions of the Vlasov equation", 2001. |
ps (0.3 MB) zip (0.1 MB) |
| 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. |
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| 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) |
| 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. |
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| 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) |
| 347 | C. Villani: | "A review of mathematical topics in collisional kinetic
theory", prepared for publication in "Handbook of Fluid Mechanics", S. Friedlander and D. Serre (Eds.), 2002. |
ps (1.5 MB) zip (0.5 MB) |
| 127 | C. Villani: | "Contribution à l'étude mathématique
des collisions en théorie cinétique", 2000. |
ps (0.9 MB) zip (0.3 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) |