特邀哈尔滨工程大学徐润章教授来我校作学术报告

发布者:郭帅发布时间:2020-11-09浏览次数:872

报告题目:Global well-posedness of coupled parabolic systems

 

报告时间:2020118日(周日)上午10:0011:00

 

报告人:徐润章  教授

 

主持人:刘文军  教授

 

报告地点:藕舫楼629

 

报告摘要:The initial boundary value problem of a class of reaction-diffusion systems (coupled parabolic systems) with nonlinear coupled source terms is considered in order to classify the initial data for the global existence, finite time blowup and longtime decay of the solution. The whole study is conducted by considering three cases according to initial energy: low initial energy case, critical initial energy case and high initial energy case. For the low initial energy case and critical initial energy case the sufficient initial conditions of global existence, long time decay and finite time blowup are given to show a sharp-like condition. And for the high initial energy case the possibility of both global existence and finite time blowup is proved first, and then some sufficient initial conditions of finite time blowup and global existence are obtained respectively.

 

专家简介:徐润章,哈尔滨工程大学数学科学学院教授,博士生导师,“龙江学者”青年学者。美国数学会(AMS)会员;美国数学评论(MR)评论员;黑龙江省数学会常务理事;黑龙江省青年学术骨干;国际数学物理联合会会员。《哈尔滨工程大学学报》编委,SCI检索期刊Advances in Nonlinear Analysis主编,Applied Numerical Mathematics编委,Boundary Value Problems副主编,Electronic Research Archive编委;国际期刊The Annals of the University of Craiova - Mathematics and Computer Science series编委。

 

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