中科院数学与系统科学研究院

数学研究所

学术报告会

报告人：徐 甜 讲师（天津大学应用数学中心）

题  目：Variational analysis of a coupled system of multi-component incongruent diffusion  

时  间：2017.07.18（星期二）, 14:30--15:30

地  点：数学院南楼N913室

摘  要：In this talk we devote to introduce some interesting aspects of a multi-component Reaction-Diffusion system of the form  where ,  are external potential functions,  and  are matrices of diffusion coefficients and coupling constants respectively. When the diffusion rate is small, their solutions exhibit spike-layers. We relate the number of solutions with the geometric behavior of the spatial distribution involved in the reaction terms. It is also of interest to know that, for , we will deal with standard diffusion coefficients  and the incongruent diffusion coefficients  which has generally been overlooked in the study of Reaction-Diffusion systems.