Global well-posedness of coupled parabolic systems

发布日期:2020-07-13点击数:

报告人 :徐润章 (哈尔滨工程大学)

日期:2020年7月14日

时间:14:00

腾讯会议 ID857 635 310(无密码)


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.


报告人简介:徐润章,哈尔滨工程大学教授、博士生导师。“龙江学者”青年学者,黑龙江省数学会常务理事,黑龙江省青年学术骨干。


联系人:穆春来 王华桥



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