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arXiv · 1712.10173

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

Nils Caillerie·Julien Vovelle
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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.

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Nils Caillerie, Julien Vovelle. 2017-12-29. Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process. https://arxiv.org/abs/1712.10173

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