Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

被引：0

作者：

Gui-Qiang G. Chen

Peter H. C. Pang

机构：

[1] University of Oxford,Mathematical Institute

来源：

Chinese Annals of Mathematics, Series B | 2019年 / 40卷

关键词：

Stochastic solutions; Entropy solutions; Invariant measures; Existence; Uniqueness; Stochastic forcing; Anisotropic degenerate; Parabolichyperbolic equations; Long-time behavior; 35B40; 35K65; 37-02; 37A50; 37C40; 60H15; 35Q35; 58J70; 60G51; 60J65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：967 / 1004

页数：37

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