Diffusion limit for the radiative transfer equation perturbed by a Markovian process
Analysis of PDEs
2014-05-13 v2 Probability
Abstract
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.
Cite
@article{arxiv.1405.2192,
title = {Diffusion limit for the radiative transfer equation perturbed by a Markovian process},
author = {Arnaud Debussche and Sylvain De Moor and Julien Vovelle},
journal= {arXiv preprint arXiv:1405.2192},
year = {2014}
}
Comments
24 pages. arXiv admin note: text overlap with arXiv:1311.4743