Mitsuo HIGAKI

Mitsuo HIGAKI

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Analysis
Assistant Professor
Building B, Room 424


Research Field : Mathematical analysis of partial differential equations related to fluid mechanics

Research Summary : My specialty is partial differential equations (PDEs) related to fluid mechanics such as the Navier-Stokes equations. I am interested in the effects of solid walls on viscous fluid flows. The focus of my recent work is on the mathematical structure of flows near a rough-surfaced wall and the motion of fluid around a rotating obstacle. I am studying the nonlinear PDEs describing such phenomena and exploring the various properties of solutions using harmonic analysis, functional analysis, and boundary layer analysis.

Primary Publications :
  1. M. Higaki, Note on the stability of planar stationary flows in an exterior domain without symmetry, to appear in Adv. Differential Equations.
  2. I. Gallagher, M. Higaki, and Y. Maekawa, On stationary two-dimensional flows around a fast rotating disk, Mathematische Nachrichten 292 (2019), 273-308.
  3. M. Higaki, Y. Maekawa, and Y. Nakahara, On stationary Navier-Stokes flows around a rotating obstacle in two-dimensions, Archive for Rational Mechanics and Analysis 228 (2018), 603-651.
  4. M. Higaki, Navier wall law for nonstationary viscous incompressible flows, J. Differential Equations, 260 (2016), no. 10, 7358-7396.