 Mitsuo HIGAKI |
Mitsuo HIGAKI
Department of Mathematics,
Graduate School of Science, Kobe University |
Division : Analysis
Associate Professor |
Building B, Room 424

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Research Field :
Mathematical analysis of partial differential equations related to fluid mechanics
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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.
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Primary Publications : |
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M. Higaki, Note on the stability of planar stationary flows in an
exterior domain without symmetry, to appear in Adv. Differential
Equations.
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I. Gallagher, M. Higaki, and Y. Maekawa, On stationary two-dimensional
flows around a fast rotating disk, Mathematische Nachrichten 292 (2019),
273-308.
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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.
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M. Higaki, Navier wall law for nonstationary viscous incompressible
flows, J. Differential Equations, 260 (2016), no. 10, 7358-7396.
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