Shiyang Xiong

collaborators

3 papers

math.AP2026

A Critical Chemin--Lerner Regularity Criterion via One Velocity Component for the Three-Dimensional Navier--Stokes Equations

Maotuo Guo, Wendong Wang, Shiyang Xiong

We prove a scaling-critical regularity criterion involving only one velocity component for finite-energy suitable weak solutions of the three-dimensional incompressible Navier--Sto…

math.AP2026

Positive-regularity norm inflation for the 3D hypodissipative Navier--Stokes equations

Guirong Tang, Shiyang Xiong

We prove same-space norm inflation for the three-dimensional hypodissipative Navier--Stokes equations with dissipation $(- Δ)^{α}$ , $0 < α < 1$ . Let $2 \leq p < \infty$ and \[ 0<s<1-2α+\frac3…

math.AP2025

On the Regularity of Navier-Stokes Equations in Critical Space

Shiyang Xiong, Liqun Zhang

This paper focuses on the regularity of the Navier-Stokes equations in critical space. Let $u (x, t)$ and $p (x, t)$ denote suitable weak solution of the Navier-Stokes equations in…