4 papers
Global Existence of Weak Martingale Solutions to the Camassa-Holm Equation with Linear Multiplicative Noise
Wei Luo, Zhaoyang Yin, Pei Zheng
In this paper, we consider the global existence and properties of martingale solution to the Camassa-Holm equation with linear multiplicative noise under periodic boundary co…
Invariant Measure of the Camassa-Holm Equation with Linear Multiplicative Noise
Wei Luo, Zhaoyang Yin, Pei Zheng
In this paper, we prove that the solution map of Camassa-Holm equation with linear multiplicative noise $$ \left\{ \begin{array}{l} {\rm d}u+(u\partial_xu+\partial_xP[u])\,{\rm d}t…
Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations
Chen Liang, Zhaonan Luo, Zhaoyang Yin
In this paper, we consider the global regularity and the optimal time decay rate for the 2D isentropic hypo-viscous compressible Navier-Stokes equations. Firstly, we prove that the…
Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion
Chen Liang, Zhaonan Luo, Zhaoyang Yin
This paper is devoted to the uniform vanishing damping limit of the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion. Firstly, we find that fractional stress ten…