Diffusion limit for the radiative transfer equation perturbed by a   Wiener process
  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. 
Arnaud Debussche (ENS Rennes, IRMAR), Sylvain De Moor (ENS Rennes,   IRMAR) and Julien Vovelle (CNRS, ICJ)
math.AP math.PR