Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

Gui-Qiang G. Chen , Peter H. C. Pang

Chinese Annals of Mathematics, Series B ›› 2019, Vol. 40 ›› Issue (6) : 967 -1004.

PDF
Chinese Annals of Mathematics, Series B ›› 2019, Vol. 40 ›› Issue (6) : 967 -1004. DOI: 10.1007/s11401-019-0169-x
Article

Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

Author information +
History +
PDF

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.

Keywords

Stochastic solutions / Entropy solutions / Invariant measures / Existence / Uniqueness / Stochastic forcing / Anisotropic degenerate / Parabolichyperbolic equations / Long-time behavior

Cite this article

Download citation ▾
Gui-Qiang G. Chen, Peter H. C. Pang. Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing. Chinese Annals of Mathematics, Series B, 2019, 40(6): 967-1004 DOI:10.1007/s11401-019-0169-x

登录浏览全文

4963

注册一个新账户 忘记密码

References

AI Summary AI Mindmap
PDF

109

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/