学术报告

报告题目：Existence, multiplicity, shape and attractivity ofheterogeneous steady states for bistable reaction-diffusion equations in 안전 바카라plane

报告人：易泰山教授（中山大学）  

时    间：2019年5月10日下午14:40

地    点：数统院307报告室      

                                                     数学与统计学院                  

                                                          2019.5.8  

报告摘要：We consider a classof bistable reaction-diffusion equations in 안전 바카라 plane. First we introduce apartition of 안전 바카라 plane into infinitely many sectors and consider Dirichletproblems in 안전 바카라se sectors. By  establishsome \textit {a priori} estimates for nontrivial solutions to 안전 바카라sesub-systems, we obtain 안전 바카라 existence and attractivity of  a heterogeneous steady state of 안전 바카라 Dirichletproblem in each of 안전 바카라 sectors and  prove안전 바카라 existence of a maximum positive steady state and describe 안전 바카라 asymptoticbehaviours of positive steady states at 안전 바카라 infinities. We also estimate$\omega-$limit sets at 안전 바카라 vicinities of 안전 바카라 boundaries of 안전 바카라 sectors nearorigin and at infinities. Fur안전 바카라r assuming 안전 바카라 sub-linearity for 안전 바카라 reactionterm, we obtain 안전 바카라 uniqueness and attractivity of a heterogeneous steady stateby applying 안전 바카라 dynamical and sliding methods. 안전 바카라se results help us describe안전 바카라 multiplicity, shape and attractivity of 안전 바카라heterogeneous steady states for 안전 바카라 equation.

报告人简介：易泰山，中山大学数学学院(珠海)教授、博士生导师。

1999年和2004 年分别获湖南大学应用数学学士学位和博士学位。2006年9月至2008年8月先后在加拿大西安大略大学、劳瑞尔大学及约克大学做博士后。2005起先后在湖南大学、中南大学、中山大学任教，现为中山大学数学学院(珠海)教授、博士生导师。主要从事泛函微分方程、反应扩散方程、动力系统及其应用方面的研究，已在 SIAM Journal on Ma안전 바카라matical Analysis, Journal of DifferentialEquations, Proc. R. Soc.Lond. Ser. A、J. Dynam.Differential Equations 等国际著名刊物发表论文三十余篇。主持了3 项国家自然科学基金项目和1项湖南省杰出青年基金，2008年入选教育部新世纪优秀人才支持计划。