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Journal Articles Kinetic and Related Models Year : 2015

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

Abstract

The aim of this paper is the rigorous derivation of a stochastic non-linear diffusion equation from a radiative transfer equation perturbed with a random noise. The proof of the convergence relies on a formal Hilbert expansion and the estimation of the remainder. The Hilbert expansion has to be done up to order 3 to overcome some diffculties caused by the random noise.

Dates and versions

hal-01044419 , version 1 (23-07-2014)

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Arnaud Debussche, Sylvain de Moor, Julien Vovelle. Diffusion limit for the radiative transfer equation perturbed by a Wiener process. Kinetic and Related Models , 2015, 8 (3), pp.467-492. ⟨10.3934/krm.2015.8.467⟩. ⟨hal-01044419⟩
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