Research
【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 (in-)compressible 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)