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

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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https://hal.archives-ouvertes.fr/hal-01672879
Contributor : Julien Vovelle Connect in order to contact the contributor
Submitted on : Tuesday, September 29, 2020 - 11:04:22 AM
Last modification on : Monday, March 29, 2021 - 2:46:58 PM

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  • HAL Id : hal-01672879, version 2
  • ARXIV : 1712.10173

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Nils Caillerie, Julien Vovelle. Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process. 2020. ⟨hal-01672879v2⟩

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