报 告 人：Hoang-Hung Vo博士（中国人民大学数学科学研究院）
报告题目：Persistence versus extinction under a climate change in mixed environments
报告时间：2015年12月4日（周五）下午2:00-5:00
报告地点：静远楼1508学术报告厅
摘 要： I will discuss about persistence versus extinction of species in the reaction–diffusion equation:
where Ω is of cylindrical type or partially periodic domain, $f$ is of Fisher-KPP type and the scalar $c>0c>0$ is a given forced speed. This type of equation originally comes from a model in population dynamics (see [3],[17] and [18]) to study the impact of climate change on the persistence versus extinction of species. From these works, we know that the dynamics is governed by the traveling fronts $u(t,x1,y)=U(x1−ct,y)u(t,x1,y)=U(x1−ct,y)$, thus characterizing the set of traveling fronts plays a major role. In this paper, we first consider a more general model than the model of [3] in higher dimensional space, where the environment is only assumed to be globally unfavorable with favorable pockets extending to infinity. We consider in two frameworks: the reaction term is time-independent or time-periodic dependent. For the latter, we study the concentration of the species when the environment outside Ω becomes extremely unfavorable and further prove a symmetry breaking property of the fronts.
Hoang-Hung Vo博士个人简介：Hoang-Hung Vo于2014年在法国巴黎第六大学获得博士学位，导师是Henri Berestycki教授。目前在中国人民大学从事博士后工作，合作导师是楼元教授。主要研究领域是反应扩散方程，已在JFA、JMB、JDE等数学杂志发表学术论文多篇。