讲座主题：The dynamics of nonlocal diffusion systems with free boundary

专家姓名：王明新

工作单位：哈尔滨工业大学理学研究中心

讲座时间：2018年12月1日10:00-11:00

讲座地点：数学学院340

主办单位：烟台大学数学与信息科学学院

内容摘要：

This talk concerns with the free boundary problems of nonlocal diffusion systems, which are natural extensions of the free boundary problems of reaction diffusion systems, where ``nonlocal diffusions'' are used to describe the population dispersal, with the free boundary representing the spreading front of the species. We prove that such kind of nonlocal diffusion problems has a unique global solution, and then show that a spreading-vanishing dichotomy holds. Moreover, criteria of spreading and vanishing are established for the classical Lotka-Volterra competitive and prey-predator models.

主讲人介绍：

哈尔滨工业大学理学研究中心特聘教授和二级教授，博士生导师。国务院政府特殊津贴专家、河南省优秀专家。在科学出版社出版专著5本, 在在J. Diff. Equations、Nonlinear Anal. RWA、Proc. Roy. Soc. Edinburgh Math. A、Z. Angew. Math. Phys.、J. Dynam. Differential Equations等国际著名学术期刊发表论文270余篇,被国内外1254名学者引用2931 篇次。