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：
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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.
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页码：967 / 1004
页数：37
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