3 papers
math.PR2026
On the stability of rarefaction for stochastic viscous conservation law
Zhao Dong, Feimin Haung, Houqi Su
We study the asymptotic stability of rarefaction waves for one-dimensional stochastic viscous conservation laws driven by nonlinear conservative noise. In a critical scaling where…
math.PR2025
Ergodicity of the viscous scalar conservation laws with a degenerate noise
Xuhui Peng, Houqi Su
This paper establishes the ergodicity in $H^\nn,\nn=\lfloor\frac{d}{2}+1\rfloor$ of the viscous scalar conservation laws on torus $\mT^d$ with general polynomial flux and a degener…
math.PR2021
Large time behavior of strong solutions for stochastic Burgers equation
Zhao Dong, Feimin Huang, Houqi Su
We consider the large time behavior of strong solutions to a kind of stochastic Burgers equation, where the position x is perturbed by a Brownian noise. It is well known that both…