Mikihiro Fujii

activity

20192026

collaborators

26 papers

math.AP2026

Refined decay estimates for global solutions to the rotating MHD equations

Mikihiro Fujii, Yang Li

In this paper, we consider the Cauchy problem for the incompressible magnetohydrodynamic equations with the Coriolis force in the three-dimensional whole space. For large initial d…

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 $B ˙_{\infty, σ}^{- 1} (R^{3})$

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.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…

Refined decay estimates for global solutions to the rotating MHD equations

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˙∞,σ−1​(R3)

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

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 $B ˙_{\infty, σ}^{- 1} (R^{3})$

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