My research interests are in understanding nonlinear dynamical phenomena observed in the evolutions of incompressible fluid motions;

(1) Dissipative weak solutions of the Euler equations and turbulence
(2) Vortex Dynamics (on sphere/in multiply connected domains)
(3) Singularity formation and long-time behavior of vortex sheets
(4) Mathematical analysis for models for 3D Navier-Stokes and Euler equations
(5) Topological chaos appearing in the turbulent flow
(6) Two-dimensional turbulence and statistical property of point vortices

Check Sakajo's homepage for the details