Koji Ohkitani

MSc(Kyoto), DSc(Kyoto)

Project Professor, Center for Research Interaction in Mathematical Sciences

Current Affiliation

Vice Director/Project-Specific Professor, Institute for Liberal Arts and Sciences

Kyoto University

Yoshida Nihonmatsu-cho, Sakyo-ku

Kyoto 606-8501, Japan

Some recent papers and preprints

• 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

• Japan Society of Applied and Industrial Mathematics

Editorship

• Nonlinearity, Board member(2000-2018)

• Fluid Dynamics Research, Advisor (current)