Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590579 | Journal of Functional Analysis | 2014 | 43 Pages |
Abstract
In this paper, we are interested in the Dirichlet boundary value problem for a multi-dimensional nonlinear conservation law with a multiplicative stochastic perturbation. Using the concept of measure-valued solutions and Kruzhkovʼs semi-entropy formulations, a result of existence and uniqueness of the entropy solution is proved.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Caroline Bauzet, Guy Vallet, Petra Wittbold,