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.
Publication:
Communications in Mathematical Physics (2023),DOI: 10.1007/s00220-022-04629-x
Author:
Dong Zhao,RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China(E-mail:dzhao@amt.ac.cn)
Rangrang Zhang,School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Tusheng Zhang,School of Mathematics, University of Science and Technology of China, Hefei 230026, China.
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