Diffusion limit for the radiative transfer equation perturbed by a Wiener process
Analysis of PDEs
2014-05-13 v2 Probability
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.
Cite
@article{arxiv.1405.2191,
title = {Diffusion limit for the radiative transfer equation perturbed by a Wiener process},
author = {Arnaud Debussche and Sylvain De Moor and Julien Vovelle},
journal= {arXiv preprint arXiv:1405.2191},
year = {2014}
}
Comments
27 pages