Contents
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Personal Info.
Research
- Research Works
- Gallery of Fluid Motions
- Publications
- Talks
o International
o Domestic (J)
o Foreign
- JST Presto Project "Dynamical Systems Theory for Hydrospheric Environments"
- Seminar, "Let's enjoy mathematical sciences" (J)
- Research Center for Integrated Mathematics (RCIM), Hokkaido University
Links
Professor, Department of Mathematics, Hokkaido University
My research interests are in understanding nonlinear dynamical phenomena observed in the evolutions of incompressible fluid motions;
I am awarded a JST PRESTO research fellowship for the project, "Dynamical Systems Theory for Hydrospheric Environments"(2007-2010) and the sequel project of JST CREST, "Towards a Paradigm Shift Created by Mathematics of Vortex-Boundary Interactions" (2010-2016).
- Dissipative weak solutions of the Euler equations and turbulence
- Dynamics of Point Vortices (on sphere/in multiply connected domains)
- Mathematical theory of the incompressible and inviscid flows in multiply connected regions for hydrospheric environmental problems
- 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