Section: New Results

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

In [55] , we consider the rigorous derivation of a stochastic non-linear diffusion equation from a radiative transfer equation perturbed with a random noise of white noise type. 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 difficulties caused by the random noise.