Spaces of functions with differential-difference characteristics and the smoothness of solutions of the transport equation, Dokl. Akad. Nauk SSSR, vol.276, issue.6, pp.1289-1293, 1984. ,
Damping of particles interacting with a vibrating medium, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2016. ,
DOI : 10.1016/j.anihpc.2016.12.005
URL : https://hal.archives-ouvertes.fr/hal-01421710
The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation, Journal of Functional Analysis, vol.77, issue.2, pp.434-460, 1988. ,
DOI : 10.1016/0022-1236(88)90096-1
Interpolation spaces, volume 223 of Grundlehren der mathematischen Wissenschaften, 1976. ,
Averaging lemmas with a force term in the transport equation, Journal de Math??matiques Pures et Appliqu??es, vol.93, issue.2, pp.113-131, 2019. ,
DOI : 10.1016/j.matpur.2009.10.009
URL : https://hal.archives-ouvertes.fr/hal-00874401
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations, IMA Journal of Numerical Analysis, vol.36, issue.4, 2016. ,
DOI : 10.1093/imanum/drv066
Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes, ESAIM: M2AN, pp.631-655, 2002. ,
DOI : 10.1051/m2an:2002028
Diffusion limit for the radiative transfer equation perturbed by a Wiener process. Kinetic and Related Models, pp.467-492, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01044419
Diffusion limit for the radiative transfer equation perturbed by a Markov process, As. Anal, 2016. ,
Diffusion limit for nonhomogeneous and nonmicro-reversible processes, Indiana Univ. Math. J, vol.49, issue.3, pp.1175-1198, 2000. ,
Global weak solutions of Vlasov-Maxwell systems, Communications on Pure and Applied Mathematics, vol.2, issue.6, pp.729-757, 1989. ,
DOI : 10.1002/cpa.3160420603
On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability, The Annals of Mathematics, vol.130, issue.2, pp.321-366, 1989. ,
DOI : 10.2307/1971423
L p regularity of velocity averages, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.8, pp.3-4271, 1991. ,
From kinetic to macroscopic models, Kinetic equations and asymptotic theory of Series in Appl. Math, pp.41-121 ,
The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method, SIAM Journal on Numerical Analysis, vol.36, issue.5, pp.1333-1369, 1999. ,
DOI : 10.1137/S0036142997315986
Regularity of the moments of the solution of a Transport Equation, Journal of Functional Analysis, vol.76, issue.1, pp.110-125, 1988. ,
DOI : 10.1016/0022-1236(88)90051-1
Velocity averaging in for the transport equation, Comptes Rendus Mathematique, vol.334, issue.7, pp.557-562, 2002. ,
DOI : 10.1016/S1631-073X(02)02302-6
The Navier???Stokes limit of the Boltzmann equation for bounded collision kernels, Inventiones mathematicae, vol.203, issue.1, pp.81-161, 2004. ,
DOI : 10.1007/s00222-003-0316-5
URL : https://hal.archives-ouvertes.fr/hal-00021089
Intégration Intégrale de Lebesgue et introductionàintroductionà l'analyse fonctionnelle, Références Sciences. Ellipses, 2011. ,
APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS, Communications in Partial Differential Equations, vol.84, issue.3, pp.537-569, 2001. ,
DOI : 10.1081/PDE-100002237
The discrete-ordinate method in diffusive regimes, Transport Theory and Statistical Physics, vol.62, issue.5-6, pp.5-6413, 1991. ,
DOI : 10.1016/0021-9991(87)90170-7
Stochastic averaging lemmas for kinetic equations, Séminaire Laurent Schwartz?ÉquationsSchwartz?´Schwartz?Équations aux dérivées partielles et applications . Année 2011?2012, Sémin. ´ Equ. Dériv. Partielles, pages Exp. No. XXVI, 17. ´ Ecole Polytech, 2013. ,
DOI : 10.5802/slsedp.21
URL : https://hal.archives-ouvertes.fr/hal-00684372
Diffuse limit for finite velocity Boltzmann kinetic models, Rev. Mat. Ib, vol.13, pp.473-513, 1997. ,
DOI : 10.4171/rmi/228
The one-dimensional Darcy's law as the limit of a compressible Euler flow, Journal of Differential Equations, vol.84, issue.1, pp.129-147, 1990. ,
DOI : 10.1016/0022-0396(90)90130-H
Convergence of Discrete-Velocity Schemes for the Boltzmann Equation, Archive for Rational Mechanics and Analysis, vol.140, issue.1, pp.53-77, 1997. ,
DOI : 10.1007/s002050050060
A limiting case for velocity averaging, Annales Scientifiques de l?????cole Normale Sup??rieure, vol.31, issue.4, pp.591-598, 1998. ,
DOI : 10.1016/S0012-9593(98)80108-0
Hydrodynamic limits of the Boltzmann equation, Lect. Notes in Math, 1971. ,
Velocity averaging, kinetic formulations, and regularizing effects in quasi-linear PDEs, Communications on Pure and Applied Mathematics, vol.33, issue.10, pp.1488-1521, 2007. ,
DOI : 10.1002/cpa.20180
Limites hydrodynamiques de l'´ equation de Boltzmann Astérisque, Séminaire Bourbaki, vol.ix, issue.282 893, pp.365-405, 2000. ,