Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing
arXiv:1908.04879 · doi:10.1007/s11401-019-0169-x
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.
arXiv comment39 pages
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