SAKAJO, Takashi:Department of Mathematics,Faculty of Science,Professor,Applied Mathematics

Vortex Dynamics, Flows in Hydrospheric Environments, Fast Numerical Computations, Euler equations, Singularity formation in fluid motions, Numecal computations of three-dimensional flow, Parallel computing
Research Interest:
Mathematical Fluid Dynamics, Enviromental Fluid Mechanics, Numerical Analysis, Dynamical Systems, Bifurcation Theory, Numerical Computations
Research Activities:
My research intetests is in understanding nonlinear dynamical phenomena observed in the evolutions of incompressible fluid motions; I am now responsible for a JST presto project, "Dynamical Systems Theory for Hydrospheric Environments". * Point Vortex dynamics on sphere (N-Vortex Problem, Geophysical Flow) * Mathematical theory of the Euler flows in multiply connected regions applicable to hydrospheric environmental issues. * Singularity formation and long-time behavior of vortex sheets * Mathematical analysis for models for 3D Navier-Stokes and Euler equations * Topological chaos appearing in the turbulent flow * Two-dimensional turbulence and statistical property of point vortices Keywords: * Research Objects: Vortex sheet, Fluid flow on sphere, Point Vortex, Singularity formation in fluids, Kelvin-Helmholtz instability, 3D Navier-Stokes and Euler equations, Theory of Chaotic Mixing (Topological Chaos), 2D turbulence, Hamiltonian dynamical systems * Topics in Mathematics: Nonlinear dynamical systems, Bifurcation theory, Partial differential equations, Mathematical Braid * Numerical Methods: Vortex method, Spectral method, Fast tree-codes, Fast Multipole Method, Parallel computations, Particle methods