报告题目：The dynamics of nonlocal diffusion systems with free boundary

报告时间: 2018年12月1日10点00分-11点00分

报告地点: 数学院大会议室

报告人: 王明新教授 （哈尔滨工业大学）

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.

报告人简介: 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。