3 papers
math.PR2026
Ergodicity for stochastic 2D Boussinesq equations with a highly degenerate pure jump Levy noise
Jianhua Huang, Xuhui Peng, Xue Wang +1
This study aims to analyze the ergodicity for stochastic 2D Boussinesq equations and explore the impact of a highly degenerate pure jump Lévy noise acting only in the temperature…
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.PR2025
Ergodic and mixing properties of the 2D Navier-Stokes equations with a degenerate multiplicative Gaussian noise
Zhao Dong, Xuhui Peng
In this paper, we establish ergodic and mixing properties of stochastic 2D Navier-Stokes equations driven by a highly degenerate multiplicative Gaussian noise. The noise could appe…