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)