Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process
Year: 2017
Type: preprint
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.
Authors: Caillerie, Nils, Vovelle, Julien
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4380351986