Mathematical Analysis
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 multidimensional traveling fronts appearing in reactiondiffusion 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 multidimensional traveling fronts in reactiondiffusion equations. We study Vform traveling fronts and pyramidal traveling fronts, axisymmetric traveling fronts, a traveling front whose cross section has a convex shape. Multidimensional traveling fronts describe propagation phenomena appearing in chemistry, physics and biology.