Work

Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process

Year: 2021

Type: article

Abstract: We derive the hydrodynamic limit of a kinetic equation with a stochastic, short range perturbation of the velocity operator. Under some mixing hypotheses on the stochastic perturbation, we establish a diffusion-approximation result: the limit we obtain is a parabolic stochastic partial differential equation on the macroscopic parameter, the density here.

Source: The Annals of Applied Probability

DOI: 10.1214/20-aap1619

Authors: Nils Caillerie, Julien Vovelle

Institutions: Georgetown University, École Normale Supérieure de Lyon, Centre National de la Recherche Scientifique, Université de Lyon, Unité de Mathématiques Pures et Appliquées

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Agence Nationale de la Recherche, Université de Lyon