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Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

Chinese Annals of Mathematics. Series B, ISSN: 1860-6261, Vol: 40, Issue: 6, Page: 967-1004
2019
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Article Description

Some recent developments in the analysis of long-time behaviors of stochastic solutions of nonlinear conservation laws driven by stochastic forcing are surveyed. The existence and uniqueness of invariant measures are established for anisotropic degenerate parabolic-hyperbolic conservation laws of second-order driven by white noises. Some further developments, problems, and challenges in this direction are also discussed.

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