Research Institute for Mathematical Sciences


Koji Ohkitani

MSc(Kyoto), DSc(Kyoto), FInstP

Professor of Applied Mathematics

Address

Research Institute for Mathematical Sciences

Kyoto University

Kitashirakawa Oiwake-cho, Sakyo-ku

Kyoto 606-8502, Japan

Contact Details

office: 311 RIMS Main Building

email: ohkitani[at]kurims.kyoto-u.ac.jp

Some recent papers

  • papers

Some recent presentations

  • talks

On-going Research Projects

  • Self-similar solutions to the Navier-Stokes equations
    • In Ohkitani-Vanon (2022) an expression for the linearised forward self-similar profile is explicitly obtained to the incompressible Navier-Stokes equations. The next aim is to determine the nonlinear self-similar profile numerically and characterise it theoretically.
  • Effects of advection on the regularity of flow fields
    • We modify the Navier-Stokes equations in velocity gradient form by weakening their advection with a parameter. The current aim is to investigate how the properties of solutions change with the change of the parameter.
  • Comparison of Navier-Stokes flows in the whole space and the periodic domain
    • In Ohkitani (2023) we compared direct numerical simulations of 2D Navier-Stokes equations on the while plane and the periodic domain. The present aim is to do a similar comparison in three dimensions.
    • Interpolation between the Navier-Stokes and Burgers equations.
    • We consider a system which is equivalent to the Burgers equations by rotating the velocity gradient in 2D incompressible Navier-Stokes equations. Introducing a generalised system by interpolation between them, we study numerically how the solutions change in properties with the change of the rotation angle. Furthermore we introduce a similar interpolation in three dimensions to see what is happening therein.

    Learned Bodies

    • London Mathematical Society
    • Japan Society of Applied and Industrial Mathematics

    Editorship

    • Nonlinearity, Board member(2000-2018)
    • Fluid Dynamics Research, Advisor (current)