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Takashi SAKAJO is now
My research interests are in understanding highly nonlinear and complex phenomena observed in the evaluations of incompressible fluid motions; I am also interested in interdisciplinary mathematical studies (Math. Meteorology, Medicals, Material Sciences, Mathematical Modeling etc); I am the chief coordinator of Math Clinic Program (MACS Program). The topics in my current research are:
- Topological fluid mechanics (Topological Flow Data Analysis)
- Dissipative weak solutions of the Euler equations and Turbulence theory
- Vortex Dynamics (Point Vortex on Closed Surface)
- Flow control of vortex dominated flows
- Singularity formation and long-time behavior of vortex dynamics
- Applied and Computational Complex Analysis
- Interdisciplinary Studies (Mathematical Meteorology, Math Clinic at Kyoto U)
- Research Topic: Topological and geometric fluid mechanics, Turbulence Theory, Vortex Dynamics, Mathematical Meteorology, Mathematical Modeling, Interdisciplinary Mathematics.
- Topics in Mathematics: Nonlinear dynamical systems, Bifurcation theory, Partial differential equations, Numerical Analysis, Topology, Symplectic geometry.
- Topics in Numerical methods: Vortex method, Spectral method, Fast tree-codes, Fast Multipole Method, Numerical Conformal mapping
I was awarded a JST PRESTO research fellowship for the project, "Dynamical Systems Theory for Hydrospheric Environments"(2007-2010) and the sequel project of JST Math CREST, "Towards a Paradigm Shift Created by Mathematics of Vortex-Boundary Interactions" (2010-2016).