报告题目：Degenerate Reaction-Diffusion System and Its Wave Solutions

报告人：Zhaosheng Feng（冯兆生）

报告时间：2018年12月13日下午3点，

报告地点：理学楼307

报告摘要：

The history of the theory of reaction-diffusion systems begins with the three famous works by Luther (1906), Fisher and Kolmogorov etc. (1937). Since these seminal papers much research has been carried out in an attempt to extend the original results to more complicated systems which arise in several fields. In this talk, we consider the case that some species migrate from densely populated areas into sparsely populated areas to avoid crowding and investigate a more general reaction-diffusion system by considering density-dependent dispersion as a regulatory mechanism of the cyclic changes. Here the probability that an animal moves from the point x_1 to x_2 depends on the density at x_1. We apply the Poincare theory and transforms to analyze local behaviors around a non-hyperbolic point of codimension one in the phase plane and use the Lie symmetry reduction to explore bounded wave solutions. Numerical simulations and biological explanation are presented.

个人简介：

冯兆生，美国德克萨斯大学(University of Texas Rio Grande Valley)大河谷分校数学统计学院终身教授，德克萨斯大学杰出成就奖获得者。主要研究方向有非线性动力学,分支与混沌系统,数学物理问题,数值计算和生物数学等。在数学、物理等国际学术刊物上共发表学术论文180余篇。近年在北美出版编辑五本英文著作/论文集，曾担任十余个国际学术会议的学术委员会委员，并在多个国际学术会议上做过大会报告。目前担任国际知名学术杂志

Communications in Nonlinear Science and Numerical Simulation和 Electronic Journal of Differential Equations的主编，同时担任六个国际SCI杂志的编委。