Wei Luo

collaborators

3 papers

math.AP2026

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 $H^{1}$ martingale solution to the Camassa-Holm equation with linear multiplicative noise under periodic boundary co…

math.AP2026

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…

math.AP2026

On the Critical One Components Regularity for the $3 - D$ Navier-Stokes System in $L_{T}^{p} (B ˙_{2, \infty}^{\frac{1}{2} + \frac{2}{p}})$ spaces

Wei Luo, Zhanyang Yin, Pei Zheng

We consider the conditional regularity of the mild solution $v$ of the $3 - D$ incompressible Navier-Stokes equations with initial data $v_{0} \in H ˙^{\frac{1}{2}}$ and vorticity $Î©…

Global Existence of Weak Martingale Solutions to the Camassa-Holm Equation with Linear Multiplicative Noise

Invariant Measure of the Camassa-Holm Equation with Linear Multiplicative Noise

On the Critical One Components Regularity for the 3−D Navier-Stokes System in LTp​(B˙2,∞21​+p2​​) spaces

On the Critical One Components Regularity for the $3 - D$ Navier-Stokes System in $L_{T}^{p} (B ˙_{2, \infty}^{\frac{1}{2} + \frac{2}{p}})$ spaces