Mikihiro Fujii

collaborators

14 papers

math.AP2026

Non-unique $L^{2}$ solutions to the stationary Navier--Stokes equations on the whole plane

Mikihiro Fujii

We prove that, for a suitable small external force in $H ˙^{- 2} (R^{2})$ , the stationary Navier--Stokes equations on $R^{2}$ admit multiple solutions in $L^2(\mathbb…

math.AP2026

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 $L^{p}$ decay estimates of global solutions. We reveal that…

math.AP2026

Global solutions to the Navier--Stokes equations with large vertical velocities in $B ˙_{\infty, I ¨ }^{- 1} (R^{3})$

Mikihiro Fujii

In this paper, we consider the Cauchy problem for the $3$ D incompressible Navier--Stokes equations and prove the existence of unique global solutions in the framework that the hori…

math.AP2026

Sharp non-uniqueness for the Navier-Stokes equations in scaling critical spaces

Mikihiro Fujii

It is known that uniqueness of mild solutions to the incompressible Navier-Stokes equations holds in the critical class $C ([0, T); L^{n} (R^{n}))$ for $n ⩾ 3$ . In this pa…

math.AP2026

Global strong solutions to the compressible Navier--Stokes--Coriolis system for large data

Mikihiro Fujii, Keiichi Watanabe

We consider the compressible Navier--Stokes system with the Coriolis force on the $3$ D whole space. In this model, the Coriolis force causes the linearized solution to behave like…

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…

Non-unique L2 solutions to the stationary Navier--Stokes equations on the whole plane

Sharp decay estimates for global solutions to the incompressible rotating Navier--Stokes equations

Global solutions to the Navier--Stokes equations with large vertical velocities in B˙∞,I¨−1​(R3)

Sharp non-uniqueness for the Navier-Stokes equations in scaling critical spaces

Global strong solutions to the compressible Navier--Stokes--Coriolis system for large data

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

Non-unique $L^{2}$ solutions to the stationary Navier--Stokes equations on the whole plane

Global solutions to the Navier--Stokes equations with large vertical velocities in $B ˙_{\infty, I ¨ }^{- 1} (R^{3})$

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