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Article Dans Une Revue Asymptotic Analysis Année : 2016

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

Résumé

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.

Dates et versions

hal-01044426 , version 1 (23-07-2014)

Identifiants

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Arnaud Debussche, Sylvain de Moor, Julien Vovelle. Diffusion limit for the radiative transfer equation perturbed by a Markovian process. Asymptotic Analysis, 2016, 98 (1-2), pp.31-58. ⟨10.3233/ASY-161360⟩. ⟨hal-01044426⟩
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