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)