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
* 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