Yang Li

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math.AP2025

Analyticity in space and time for global solutions to the anisotropic Navier--Stokes equations in the critical $L^{p} (R^{3})$ framework

Mikihiro Fujii, Yang Li

In the present paper, we consider the real analyticity of the global solutions to the $3$ D incompressible anisotropic Navier--Stokes equations. We show that if only the horizontal…

math.AP2025

Incompressible and fast rotation limits for 3D compressible rotating Euler system with general initial data

Mikihiro Fujii, Yang Li, Pengcheng Mu

This paper is concerned with the low Mach and Rossby number limits of $3$ D compressible rotating Euler equations with ill-prepared initial data in the whole space. More precisely,…

math.AP2024

Large time behavior for solutions to the anisotropic Navier-Stokes equations in a 3D half-space

Mikihiro Fujii, Yang Li

We consider the large time behavior of the solution to the anisotropic Navier--Stokes equations in a $3$ D half-space. Investigating the precise anisotropic nature of linearized sol…

Analyticity in space and time for global solutions to the anisotropic Navier--Stokes equations in the critical Lp(R3) framework

Incompressible and fast rotation limits for 3D compressible rotating Euler system with general initial data

Large time behavior for solutions to the anisotropic Navier-Stokes equations in a 3D half-space

Analyticity in space and time for global solutions to the anisotropic Navier--Stokes equations in the critical $L^{p} (R^{3})$ framework