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arxiv: 1405.2192 · v2 · pith:T7O2WFUJnew · submitted 2014-05-09 · 🧮 math.AP · math.PR

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

classification 🧮 math.AP math.PR
keywords limitperturbedequationnon-linearparameterradiativesmallstochastic
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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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