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math.AP2022★ 16 cited
Global well-posedness of the viscous Camassa--Holm equation with gradient noise
Helge Holden, Kenneth H. Karlsen, Peter H. C. Pang
We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa--Holm type) perturbed by a convective, position…
math.AP2019
Invariant Measures for Nonlinear Conservation Laws Driven by Stochastic Forcing
Gui-Qiang G. Chen, Peter H. C. Pang
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…