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.
| Original language | English |
|---|---|
| Pages (from-to) | 967-1004 |
| Number of pages | 38 |
| Journal | Chinese Annals of Mathematics. Series B |
| Volume | 40 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Nov 2019 |
| Externally published | Yes |
Free Keywords
- Anisotropic degenerate
- Entropy solutions
- Existence
- Invariant measures
- Long-time behavior
- Parabolichyperbolic equations
- Stochastic forcing
- Stochastic solutions
- Uniqueness
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics