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Staff Introduction

KAGEI, Yoshiyuki / Professor

The subject of my research is Mathematical Analysis of Nonlinear Partial Differential Equations. I am mainly interested in equations appearing in the fluid mechanics. I firstly investigated the Oberbeck-Boussinesq equation which is a model equation for thermal convection phenomena, and studied the existence, uniqueness and regularity of solutions, bifurcation problem, and stability problem. These analyses led me to have interest in the study of the effect of the non-local properties and the effect of the boundaries on large time behavior of solutions to the compressible and incompressible Navier-Stokes equations.

Keywords Nonlinear partial differential equations, Navier-Stokes equations, Asymptotic behavior, Stability, Bifurcation
Faculty , Department Faculty of Mathematics , Department of Mathematical Sciences