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Ergodicity for stochastic conservation laws with multiplicative noise
Zhao Dong, Rangrang Zhang, Tusheng Zhang · 2020-07-14 · via math.PR updates on arXiv.org

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.

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