THE STABILITY AND THE RATE OF CONVERGENCE TO STATIONARY SOLUTIONS OF THE TWO-DIMENSIONAL NAVIER-STOKES EXTERIOR PROBLEM (Mathematical Analysis of Viscous Incompressible Fluid)

Real analytic research on the Navier-Stokes equations on exterior domains with external force

Project Year: Apr 2017 - Mar 2021

Construction of mathematical theory to investigate the macro structure and the mesostructure of the fluid motion

Project Year: May 2012 - Mar 2017

In our macroscopic studies on mathematical fluid dynamics, we proved the unique existence theorem of locally in time solution of free boundary problems for the Navier-Stokes equations in general domains, employing the theory based on the R bounded...

This research is concerned with the Navier-Stokes equations on either the whole plane or two-dimensional exterior domains. It was shown that, if there exists a small stationary external force with strong symmetry, the equation has a small stationa...

We study the spectral analysis of Stokes equations based on the recent development of the real analysis, Fourier analysis and functional analysis and its application to the Naveir-Stokes equations in several different situations arising from the m...