主讲人：Prof. Yoshio Yamada（Waseda University, Japan）

时  间：10月15日（周二）15:30-16:30

地  点：必赢76net线路官网北二区教学楼 516 教室

Abstract: My talk is concerned with reaction-diffusion systems with cross-diffusion terms. Such a system was first introduced by Shigesada-Kawasaki-Teramoto as a population model to describe the habitat segregation phenomena between two competitive species. We are mainly interested in the structure of positive stationary solutions for the reaction-diffusion systems (with Dirichlet/Neumann boundary conditions) under the presence of cross-diffusion effects. However, it is very difficult to get complete understanding on the structure of positive stationary solutions. One of useful ideas is to study limiting behaviors of positive solutions by letting one of cross-diffusion coefficients go to infinity and derive limit systems satisfied by limit hotofunctions of positive solutions. Analysis of such a limit system will give us important information of positive solutions with large cross-diffusion. We will discuss Lotka-Volterra population model with cross-diffusion along this procedure and give some results on limit systems.