1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2022★ 1 cited
Extreme temporal intermittency in the linear Sobolev transport: almost smooth nonunique solutions
Alexey Cheskidov, Xiaoyutao Luo
In this paper, we revisit the notion of temporal intermittency to obtain sharp nonuniqueness results for linear transport equations. We construct divergence-free vector fields with…
math.AP2021
On nonexistence of splash singularities for the -SQG patches
Alexander Kiselev, Xiaoyutao Luo
In this paper, we consider patch solutions to the -SQG equation and derive new criteria for the absence of splash singularity where different patches or parts of the same patch…
math.AP2020
Sharp nonuniqueness for the Navier-Stokes equations
Alexey Cheskidov, Xiaoyutao Luo
In this paper, we prove a sharp nonuniqueness result for the incompressible Navier-Stokes equations in the periodic setting. In any dimension and given any , we sh…