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
A compensated Piola principle for critical nondiffusive parabolic systems
Maotuo Guo
We introduce a compensated Piola graph method for Lagrangian stability estimates in critical homogeneous Besov spaces below the usual product threshold. For , $2d\le p<\inft…
math.AP2026
Moving One-Component Regularity Criteria for the 3D Incompressible MHD Equations
Maotuo Guo
We establish a scaling-critical continuation criterion for the three-dimensional incompressible magnetohydrodynamic equations in with arbitrary positive viscosity an…