Xiaoyutao Luo

activity

20172026

most citedTensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density

10 citations · 19 across the 12 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AP2018

Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions

Xiaoyutao Luo

Consider the unforced incompressible homogeneous Navier-Stokes equations on the $d$ -torus $T^{d}$ where $d \geq 4$ is the space dimension. It is shown that there exist nontri…

math.AP2018

Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces

Alexey Cheskidov, Xiaoyutao Luo

Onsager's conjecture for the 3D Navier-Stokes equations concerns the validity of energy equality of weak solutions with regards to their smoothness. In this note we establish energ…

math.AP2018

A Beale-Kato-Majda criterion with optimal frequency and temporal localization

Xiaoyutao Luo

We obtain a Beale-Kato-Majda-type criterion with optimal frequency and temporal localization for the 3D Navier-Stokes equations. Compared to previous results our condition only req…