Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing

作     者：Gui-Qiang G.CHEN Peter H.C.PANG 

作者机构：Mathematical Institute University of Oxford 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2019年第40卷第6期

页      面：967-1004页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the UK Engineering and Physical Sciences Research Council Award EP/E035027/1,EP/L015811/1 the Royal Society-Wolfson Research Merit Award(UK) an Oxford Croucher Scholarship 

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

摘      要：Some recent developments in the analysis of long-time behaviors of stochastic solutions of nonlinear conservation laws driven by stochastic forcing are *** existence and uniqueness of invariant measures are established for anisotropic degenerate parabolic-hyperbolic conservation laws of second-order driven by white *** further developments,problems,and challenges in this direction are also discussed.