Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing
Analysis of PDEs
2019-11-12 v2 Probability
Chaotic Dynamics
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.
Cite
@article{arxiv.1908.04879,
title = {Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing},
author = {Gui-Qiang G. Chen and Peter H. C. Pang},
journal= {arXiv preprint arXiv:1908.04879},
year = {2019}
}
Comments
39 pages