Mikihiro FUJII

E-mail: fujii.mikihiro@nsc.nagoya-cu.ac.jp

Division: Mathematical and Material Science, Lecturer
Academic Degree: Ph.D.

Research Field	Analysis
Keywords	Navier-Stokes equations, Besov space
Selected Publications	Journal papers M. Fujii, Counter examples for bilinear estimates related to the two-dimensional stationary Navier-Stokes equations, accepted for publication in Proceedings of the conference “Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities” M. Fujii, H. Tsurumi, Well-posedness of the two-dimensional stationary Navier-Stokes equations around a uniform flow, Mathematische Nachrichten (2024) M. Fujii, R. Nakasato, Global solutions for the incompressible Hall-magnetohydrodynamics system around constant equilibrium states, Journal of Mathematical Analysis and Applications (2024) M. Fujii, Ill-posedness of the two-dimensional stationary Navier-Stokes equations on the whole plane, Annals of PDE (2024) M. Fujii, Global solutions to the rotating Navier-Stokes equations with large data in the critical Fourier-Besov spaces, Mathematische Nachrichten (2024) M. Fujii, Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space, Mathematische Annalen (2024) M. Fujii, Global well-posedness of the incompressible Hall-MHD system in large critical spaces, Journal of Evolution Equations (2024) M. Fujii, Large time behavior of solutions to the 3D anisotropic Navier-Stokes equation, Nonlinear Analysis: Real World Applications (2023) M. Fujii, Global solutions to the dissipative 2D quasi-geostrophic equation with dispersive forcing, Journal of the Mathematical Society of Japan (2023) M. Fujii, Time periodic solutions to the 2D quasi-geostrophic equation with the supercritical dissipation, Journal of Evolution Equations (2022) M. Fujii, I. Okada, E. Yanagida, Isolated singularities in the heat equation behaving like fractional Brownian motions, Journal of Mathematical Analysis and Applications (2021) M. Fujii, Long Time Existence and Asymptotic Behavior of Solutions for the 2D Quasi-geostrophic Equation with Large Dispersive Forcing, Journal of Mathematical Fluid Mechanics (2021)

Research Field

Analysis

Keywords

Navier-Stokes equations, Besov space

Selected Publications

Journal papers

M. Fujii, Counter examples for bilinear estimates related to the two-dimensional stationary Navier-Stokes equations, accepted for publication in Proceedings of the conference “Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities”

M. Fujii, H. Tsurumi, Well-posedness of the two-dimensional stationary Navier-Stokes equations around a uniform flow, Mathematische Nachrichten (2024)

M. Fujii, R. Nakasato, Global solutions for the incompressible Hall-magnetohydrodynamics system around constant equilibrium states, Journal of Mathematical Analysis and Applications (2024)

M. Fujii, Ill-posedness of the two-dimensional stationary Navier-Stokes equations on the whole plane, Annals of PDE (2024)

M. Fujii, Global solutions to the rotating Navier-Stokes equations with large data in the critical Fourier-Besov spaces, Mathematische Nachrichten (2024)

M. Fujii, Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space, Mathematische Annalen (2024)

M. Fujii, Global well-posedness of the incompressible Hall-MHD system in large critical spaces, Journal of Evolution Equations (2024)

M. Fujii, Large time behavior of solutions to the 3D anisotropic Navier-Stokes equation, Nonlinear Analysis: Real World Applications (2023)

M. Fujii, Global solutions to the dissipative 2D quasi-geostrophic equation with dispersive forcing, Journal of the Mathematical Society of Japan (2023)

M. Fujii, Time periodic solutions to the 2D quasi-geostrophic equation with the supercritical dissipation, Journal of Evolution Equations (2022)

M. Fujii, I. Okada, E. Yanagida, Isolated singularities in the heat equation behaving like fractional Brownian motions, Journal of Mathematical Analysis and Applications (2021)

M. Fujii, Long Time Existence and Asymptotic Behavior of Solutions for the 2D Quasi-geostrophic Equation with Large Dispersive Forcing, Journal of Mathematical Fluid Mechanics (2021)

Faculty Members

Mikihiro FUJII