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| Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing |
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Citation： |
Gui-Qiang G. CHEN,Peter H. C. PANG.Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing[J].Chinese Annals of Mathematics B,2019,40(6):967~1004 |
| Page view： 498
Net amount： 471 |
Authors： |
Gui-Qiang G. CHEN; Peter H. C. PANG |
Foundation： |
This work was 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) and an Oxford
Croucher Scholarship. |
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| 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,Parabolic-hyperbolic equations, Long-time behavior |
Classification： |
35B40, 35K65, 37-02, 37A50, 37C40, 60H15,
35Q35, 58J70, 60G51, 60J65
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