Research Area “Mathematical Analysis” is devoted to theory on partial differential equations, theory of probability, functional analysis, dynamical systems and statistics.
For theory on partial differential equations, we study multi-dimensional traveling fronts appearing in reaction-diffusion models in physics, chemistry and biology. For theory of probability, we study stochastic partial differential equations and their discrete models.
For theory on partial differential equations, we study multi-dimensional traveling fronts in reaction-diffusion equations. We study V-form traveling fronts and pyramidal traveling fronts, axisymmetric traveling fronts, a traveling front whose cross section has a convex shape. Multi-dimensional traveling fronts describe propagation phenomena appearing in chemistry, physics and biology.