Xiaoyu Luo

collaborators

2 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.AP2023

The $α$ -SQG patch problem is illposed in $C^{2, β}$ and $W^{2, p}$

Alexander Kiselev, Xiaoyutao Luo

We consider the patch problem for the $α$ -SQG system with the values $α = 0$ and $α = \frac{1}{2}$ being the 2D Euler and the SQG equations respectively. It is well-known that the Eul…

Eulerian uniqueness of the α-SQG patch problem

The α-SQG patch problem is illposed in C2,β and W2,p

Eulerian uniqueness of the $α$ -SQG patch problem

The $α$ -SQG patch problem is illposed in $C^{2, β}$ and $W^{2, p}$