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arXiv · 1405.2192

Diffusion limit for the radiative transfer equation perturbed by a Markovian process

Arnaud Debussche·Sylvain De Moor·Julien Vovelle
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Abstract

We study the stochastic diffusive limit of a kinetic radiative transfer equation, which is non-linear, involving a small parameter and perturbed by a smooth random term. Under an appropriate scaling for the small parameter, using a generalization of the perturbed test-functions method, we show the convergence in law to a stochastic non-linear fluid limit.

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Arnaud Debussche, Sylvain De Moor, Julien Vovelle. 2014-05-09. Diffusion limit for the radiative transfer equation perturbed by a Markovian process. https://arxiv.org/abs/1405.2192

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