Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Frédéric Poupaud"'
Autor:
Frédéric Poupaud, Thierry Goudon
Publikováno v:
Bulletin des Sciences Mathématiques. 131:72-88
We are interested in the behavior with respect to the small parameter ϵ > 0 of solutions ρ ϵ of the conservative transport(-diffusion) equation ∂ t ρ ϵ + ∇ x ( ρ ϵ u ϵ ) = η Δ x ρ ϵ , with η ⩾ 0 , driven by a large random velocity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b39d929cd77d03e4fa613238ace0f08d
https://doi.org/10.1016/j.bulsci.2006.03.010
https://doi.org/10.1016/j.bulsci.2006.03.010
Publikováno v:
Journal of Statistical Physics. 122:417-436
In this paper the transport of quantum particles in time-dependent random media is studied. In the white noise limit, a quantum model for collisions is obtained. At the level of Wigner equation, this limit is described by a linear Wigner-Boltzmann eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5681b7931f5a6c443cb75317eb345737
https://doi.org/10.1007/s10955-005-8082-y
https://doi.org/10.1007/s10955-005-8082-y
Autor:
Thierry Goudon, Frédéric Poupaud
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2005, 36 n°3, pp.856--881 (electronic)
SIAM Journal on Mathematical Analysis, 2005, 36 n°3, pp.856--881 (electronic)
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2005, 36 n°3, pp.856--881 (electronic)
SIAM Journal on Mathematical Analysis, 2005, 36 n°3, pp.856--881 (electronic)
We are interested, with respect to the small parameter $\epsilon$, in the behavior of solutions $\rho^\epsilon$ of the conservative advection-diffusion equation $\partial_t\rho^\epsilon + \nabla_x\cdot(\rho^\epsilon u^\epsilon)=\eta\Delta_x\rho^\epsi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04b20eaf2f9262b9d62ac0ab9190f045
https://doi.org/10.1137/s0036141003415032
https://doi.org/10.1137/s0036141003415032
Autor:
Alexis F. Vasseur, Frédéric Poupaud
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 82(6):711-748
We study in this article the transport of particles in time-dependent random media, in the so-called weak coupling limit. We show the convergence of a Liouville equation to a Fokker–Planck equation. We also obtain the semi-classical limit of Schrod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a5f2a1d4e873b2752262bf2dfe1d77a
Publikováno v:
Quarterly of Applied Mathematics. 61:161-192
In this paper, we rigorously derive a diffusion model for semiconductor superlattices, starting from a kinetic description of electron transport at the microscopic scale. Electron transport in the superlattice is modelled by a collisionless Boltzmann
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c057b2079e8ccea896813d946d7cf67
https://doi.org/10.1090/qam/1955228
https://doi.org/10.1090/qam/1955228
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 12:1599-1615
In this paper we give a criterion to discriminate the entropy solution to quasi-linear equations of first order among weak solutions. This uniqueness statement is a generalization of Oleinik's criterion, which makes reference to the measure of the in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b0ea6c7f43e56f4250d16ea0db1722c
https://doi.org/10.1142/s0218202502002252
https://doi.org/10.1142/s0218202502002252
Publikováno v:
SIAM Journal on Applied Mathematics. 62:1488-1500
We investigate the connection between two classical models for the study of phase transition phenomena, the Becker--Doring equations, and the Lifshitz--Slyozov system. More precisely, we introduce a scaling parameter and show that the solution to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3c6f146ea55c1ba49e619af0aaa5532
https://doi.org/10.1137/s0036139900378852
https://doi.org/10.1137/s0036139900378852
Autor:
Frédéric Poupaud
Publikováno v:
ESAIM: Proceedings. 11:141-152
La physique des semiconducteurs est un domaine tres riche en problemes de modelisation et de mathematiques. Selon l´echelle consideree : microscopique, mesoscopique ou macroscopique, la modelisation du transport des charges requiert une description
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b894b894ea17cd62a796bfe63f584de9
https://doi.org/10.1051/proc:2002035
https://doi.org/10.1051/proc:2002035
Publikováno v:
Archive for Rational Mechanics and Analysis. 158:29-59
This paper is concerned with the analysis of the stability of the Vlasov-PoissonFokker-Planck system with respect to the physical constants. If the scaled thermal mean free path converges to zero and the scaled thermal velocity remains constant, then
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1efc1d0a5b2f56a8cbea44075f6d4ee8
https://doi.org/10.1007/s002050100139
https://doi.org/10.1007/s002050100139
Autor:
Frédéric Poupaud, Thierry Goudon
Publikováno v:
Communications in Partial Differential Equations. 26:537-569
This work is devoted to the approximation by the diffusion of kinetic equations. The approximation is justified by homogenization and in the limit of vanishing mean free path. Our analysis includes...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f40c017469f082a4c83dea3d825ff83b
https://doi.org/10.1081/pde-100002237
https://doi.org/10.1081/pde-100002237