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math.AP2024
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…
math.AP2024
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…
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 D half-space. Investigating the precise anisotropic nature of linearized sol…