High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing
Analysis of PDEs
2016-01-22 v1 Probability
Abstract
We study the derivation of a scalar conservation law with stochastic forcing starting from a stochastic BGK model with a high-field scaling. We prove the convergence to a new kinetic formulation where appears a modified Maxwellian. We deduce from it the existence of a weak solution to the scalar conservation law with stochastic forcing. We establish that this solution satisfies some Krushkov-like entropy relations.
Keywords
Cite
@article{arxiv.1601.05547,
title = {High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing},
author = {Nathalie Ayi},
journal= {arXiv preprint arXiv:1601.05547},
year = {2016}
}