講座主題：The dynamics of nonlocal diffusion systems with free boundary
專家姓名：王明新
工作單位：哈爾濱工業(yè)大學(xué)理學(xué)研究中心
講座時間：2018年12月1日10:00-11:00
講座地點： 數(shù)學(xué)學(xué)院340
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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.
主講人介紹：
哈爾濱工業(yè)大學(xué)理學(xué)研究中心特聘教授和二級教授，博士生導(dǎo)師。國務(wù)院政府特殊津貼專家、河南省優(yōu)秀專家。在科學(xué)出版社出版專著5本, 在在J. Diff. Equations、Nonlinear Anal. RWA、Proc. Roy. Soc. Edinburgh Math. A、Z. Angew. Math. Phys.、J. Dynam. Differential Equations等國際著名學(xué)術(shù)期刊發(fā)表論文270余篇, 被國內(nèi)外1254名學(xué)者引用2931 篇次。
