4 papers · 1 filter
Global smooth solutions to Navier-Stokes equations with large initial data in critical space
Haina Li, Yiran Xu
In this paper, we investigate the existence of a unique global smooth solution to the three-dimensional incompressible Navier-Stokes equations and provide a concise proof. We estab…
Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation
Haina Li, Yiran Xu
In this paper, we investigate the fundamental solution of the fractional Fokker-Planck equation. Utilizing the Littlewood-Paley decomposition technology, we present a concise proof…
New Regularity Criteria for Navier-Stokes and SQG Equations in Critical Spaces
Yiran Xu, Ly Kim Ha, Haina Li +1
In this paper, we investigate some priori estimates to provide the critical regularity criteria for incompressible Navier-Stokes equations on and super critical surf…
Global Large Solution to Navier-Stokes and SQG Equations with Time Oscillation
Yiran Xu, Haina Li
In this paper, we consider the model of 3D incompressible Navier-Stokes equations and 2D supercritical Surface Quasi-Geostrophic equations with time oscillation in the nonlinear te…