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arXiv · 1908.04879

Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

Gui-Qiang G. Chen·Peter H. C. Pang
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Abstract

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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Gui-Qiang G. Chen, Peter H. C. Pang. 2019-08-13. Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing. https://doi.org/10.1007/s11401-019-0169-x

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