Mitsuo HIGAKI 
Mitsuo HIGAKI
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Analysis
Associate 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 NavierStokes 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 roughsurfaced 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 : 

M. Higaki, Note on the stability of planar stationary flows in an
exterior domain without symmetry, to appear in Adv. Differential
Equations.

I. Gallagher, M. Higaki, and Y. Maekawa, On stationary twodimensional
flows around a fast rotating disk, Mathematische Nachrichten 292 (2019),
273308.

M. Higaki, Y. Maekawa, and Y. Nakahara, On stationary NavierStokes
flows around a rotating obstacle in twodimensions, Archive for Rational
Mechanics and Analysis 228 (2018), 603651.

M. Higaki, Navier wall law for nonstationary viscous incompressible
flows, J. Differential Equations, 260 (2016), no. 10, 73587396.


