Existence of stochastic entropy solutions for stochastic scalar balance laws with Lipschitz vector fields
Analysis of PDEs
2016-11-24 v3 Probability
Abstract
In this paper, we consider a scalar stochastic balance law and gain the existence for stochastic entropy solutions. Our proof relies on the BGK approximation and the generalized It\^{o} formula. Moreover, as an application, we derive the existence of stochastic entropy solutions for stochastic Buckley-Leverett type equations.
Keywords
Cite
@article{arxiv.1406.0040,
title = {Existence of stochastic entropy solutions for stochastic scalar balance laws with Lipschitz vector fields},
author = {Jinlong Wei and Liang Ding and Bin Liu},
journal= {arXiv preprint arXiv:1406.0040},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to some mistakes in proof of Theorem 3.1