Skip to Main content Skip to Navigation
Journal articles

Statistical Stability for Transport in Random Media

Thierry Goudon 1 Alexis Vasseur 2
1 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : We go back to the analysis of the transport of (classical or quantum) particles intime-dependent random media as proposed in [F. Poupaud and A. Vasseur,J. Math. Pures Appl.(9), 82 (2003), pp. 711–748], where the convergence of the expectation of solutions of the Liouvilleequation (resp., Wigner equation) to the solution of the Fokker-Planck equation (resp., Boltzmannequation) is established. Here we show that the convergence holds in probability. This result relieson certain scale separation properties of the scaling, as indicated by several counterexamples
Complete list of metadata
Contributor : Thierry Goudon <>
Submitted on : Wednesday, December 18, 2019 - 5:29:11 PM
Last modification on : Wednesday, October 14, 2020 - 4:24:27 AM



Thierry Goudon, Alexis Vasseur. Statistical Stability for Transport in Random Media. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2019, 17 (1), pp.507-530. ⟨10.1137/18M1184643⟩. ⟨hal-02418394⟩



Record views