5 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…
On the Critical One Components Regularity for the Navier-Stokes System in spaces
Wei Luo, Zhanyang Yin, Pei Zheng
We consider the conditional regularity of the mild solution of the incompressible Navier-Stokes equations with initial data and vorticity $Ω…
The local well-posedness, blow-up and global solution of a new integrable system in Besov spaces
Pei Zheng, Zhaoyang Yin
In this paper, we first establish the local well-posednesss for the Cauchy problem of a -peakon system in the sense of Hadamard in both critical Besov spaces and supercritical B…
The well-posedness and blow up phenomenon for a Tsunamis model with time-fractional derivative
Bingbing Dai, Wei Luo, Zhaoyang Yin +1
This paper is concerned with the well-posedness of a time-fractional shallow-water equations, which has received little attention. In the realm of fractional calculus, numerous typ…