5 papers
Sharp decay estimates for global solutions to the incompressible rotating Navier--Stokes equations
Mikihiro Fujii, Yang Li, Jiang Xu
In this paper, we consider the three-dimensional incompressible rotating Navier--Stokes equations and establish the sharp decay estimates of global solutions. We reveal that…
Analyticity in space and time for global solutions to the anisotropic Navier--Stokes equations in the critical framework
Mikihiro Fujii, Yang Li
In the present paper, we consider the real analyticity of the global solutions to the D incompressible anisotropic Navier--Stokes equations. We show that if only the horizontal…
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 D compressible rotating Euler equations with ill-prepared initial data in the whole space. More precisely,…
Linear and nonlinear stability for the D stratified Boussinesq equations with the horizontal viscosity and diffusivity
Mikihiro Fujii, Yang Li
In this manuscript, we consider the D Boussinesq equations for stably stratified fluids with the horizontal viscosity and thermal diffusivity and investigate the large time beha…
Low Mach number limit for the global large solutions to the D Navier--Stokes--Korteweg system in the critical framework
Mikihiro Fujii, Yang Li
In the present paper, we consider the compressible Navier--Stokes--Korteweg system on the D whole plane and show that a unique global solution exists in the scaling critical Fou…