Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process
| Autor: | Caillerie, Nils, Vovelle, Julien |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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