Ergodicity for stochastic conservation laws with multiplicative noise
Probability
2020-07-15 v1
Abstract
We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a polynomial mixing property is established. This is done in the setting of kinetic solutions taking values in an L^1-weighted space.
Cite
@article{arxiv.2007.07035,
title = {Ergodicity for stochastic conservation laws with multiplicative noise},
author = {Zhao Dong and Rangrang Zhang and Tusheng Zhang},
journal= {arXiv preprint arXiv:2007.07035},
year = {2020}
}