研究分野・業績

Major Subject:

Partial Differential Equations in Continuum Mechanics; Mathematical Physics

Main Research Interests:

• Fluid Mechanics ((in-) compressible Navier-Stokes equations, Euler equation, vortex filament equation, foam drainage equation; free & slip boundary phenomena)

• Solid Mechanics ((thermo-, visco-) elastic equations, fracture mechanics, Coulomb friction law)

• Geophysics (Primitive Equation, soil mechanics)

• Stefan Problem for compressible/incompressible Navier-Stokes equations

• Fingering Problem in Hele-Shaw Cells

• Non-Newtonian Fluid Flow

• Nonlinear Acoustics

• EMHD, MHD, EHD

• Phase Transition, Critical Phenomena (Penrose-Fife equation, Eguchi model)

• Pattern Formation Mechanochemical Models

• Synchronization (Kuramoto-Sakaguchi equation)

• Plasma Physics (drift wave turbulence, Hasegawa-Wakatani equation)