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arXiv · 1405.2191

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

Arnaud Debussche·Sylvain De Moor·Julien Vovelle
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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.

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Arnaud Debussche, Sylvain De Moor, Julien Vovelle. 2014-05-09. Diffusion limit for the radiative transfer equation perturbed by a Wiener process. https://arxiv.org/abs/1405.2191

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