3 papers
math.AP2024
The Muskat problem with a large slope
Yiran Xu, Stephen Cameron, Ke Chen +2
In this paper, we establish local well-posedness results for the Muskat equation in any dimension using modulus of continuity techniques. By introducing a novel quantity \(β_σ(f_0'…
math.AP2024
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…
math.AP2024
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…