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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"(20072010) and the sequel
project of JST CREST, "Towards a Paradigm Shift Created by Mathematics of VortexBoundary Interactions" (20102016).
 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 longtime behavior of vortex sheets
 Mathematical analysis for models for 3D NavierStokes and Euler equations
 Topological chaos appearing in the turbulent flow
 Twodimensional turbulence and statistical property of point vortices
Keywords:
 Research Objects: Vortex sheet, Fluid flow on sphere, Point Vortex, Singularity formation in fluids, KelvinHelmholtz instability, 3D NavierStokes 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 treecodes, Fast Multipole Method, Parallel computations, Particle methods
