講座主題：The dynamics of nonlocal diffusion systems with free boundary
專(zhuān)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(shí)間：2018年12月1日10:00-11:00
講座地點(diǎn)： 數(shù)學(xué)學(xué)院340
主辦單位：煙臺(tái)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(jí)教授，博士生導(dǎo)師,。國(guó)務(wù)院政府特殊津貼專(zhuān)家,、河南省優(yōu)秀專(zhuān)家,。在科學(xué)出版社出版專(zhuān)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(guó)際著名學(xué)術(shù)期刊發(fā)表論文270余篇, 被國(guó)內(nèi)外1254名學(xué)者引用2931 篇次。
