Xiaoyutao Luo

activity

20212024

collaborators

3 papers

math.AP2024

Eulerian uniqueness of the $α$ -SQG patch problem

Xiaoyutao Luo

We consider the patch problem of the $α$ -SQG equation with $α = 0$ being the 2D Euler and $α = \frac{1}{2}$ the SQG equations respectively. In the Eulerian setting, we prove the uniqu…

math.PR2023

Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise

Martina Hofmanová, Xiaoyutao Luo, Rongchan Zhu +1

We consider a family of singular surface quasi-geostrophic equations $\partial_{t} θ + u \cdot \nabla θ = - ν (- Δ)^{γ /2} θ + (- Δ)^{α /2} ξ, u = \nabla^{⊥} (- Δ)^{- 1/2} θ,$ on $[0,\infty)…

math.AP2021

On nonexistence of splash singularities for the $α$ -SQG patches

Alexander Kiselev, Xiaoyutao Luo

In this paper, we consider patch solutions to the $α$ -SQG equation and derive new criteria for the absence of splash singularity where different patches or parts of the same patch…

Eulerian uniqueness of the α-SQG patch problem

Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise

On nonexistence of splash singularities for the α-SQG patches

Eulerian uniqueness of the $α$ -SQG patch problem

On nonexistence of splash singularities for the $α$ -SQG patches