Mathematical Analysis of Models
This group deals differential equations, which are often mathematical models describing natural phenomena. We investigate mathematical methods for analysing the equations and also the applications of equations. The equations involved are various types, and the methods used include analysis, dynamical systems theory, numerical analysis, and so on.
This subject concerns problems in biology and life science, which are considered with mathematical models. The subject also concerns mathematical methods that can be applied to problems in biology and life science. For example, problems in ecology, epidemics and virus dynamics are considered.
Two-dimensional Navier-Stokes equations on a rotating sphere is one of the simplest models for planetary atmosphere. It spontaneously shows large-scale zonal structures in the course of time integration, yet the mechanism is not yet fully understood. Therefore, I am conducting numerical analyses to clarify the long-time behaviour of the solution and the mechanism of formation of zonal structures.