Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process
Analysis of PDEs
2020-10-01 v2 Probability
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.
Cite
@article{arxiv.1712.10173,
title = {Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process},
author = {Nils Caillerie and Julien Vovelle},
journal= {arXiv preprint arXiv:1712.10173},
year = {2020}
}