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arxiv: 1405.2191 · v2 · pith:T5FD24NTnew · submitted 2014-05-09 · 🧮 math.AP · math.PR

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

classification 🧮 math.AP math.PR
keywords equationdiffusionexpansionhilbertnoiseperturbedradiativerandom
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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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