Yatao Li

activity

20182023

most citedOn the regularity of temperature fronts for the 3D viscous Boussinesq system

2 citations · 2 across the 2 of their papers we have counts for

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2023

Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system

Yatao Li, Qianyun Miao, Changhui Tan +1

We investigate global solutions to the Euler-alignment system in $d$ dimensions with unidirectional flows and strongly singular communication protocols $ϕ (x) = ∣ x ∣^{- (d + α)}$ for $α…

math.AP2022★ 2 cited

On the regularity of temperature fronts for the 3D viscous Boussinesq system

Omar Lazar, Yatao Li, Liutang Xue

We study the temperature front problem for the 3D viscous Boussinesq equation. We prove that the $C^{k, γ}$ ( $k \geq 1$ , $0 < γ < 1$ ) and $W^{2, \infty}$ regularity of a temperature fron…

math.AP2018

Local wellposedness for the non-resistive MHD equations in optimal Sobolev spaces

Yatao Li

We show that the system is locally wellposed in by establishing a new commutator estimate