报告人：徐润章 (哈尔滨工程大学)

时间：2023年11月06日 09:00-

地点：理科楼LA106

摘要：In this talk, we like to report a study in the initial boundary value problem of pseudo-parabolic equation with singular potential, 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. Also two different strategies are applied to estimate the upper bounds of the blowup time for the negative initial energy blowup and positive initial energy blowup respectively.  And for the high initial energy case, the finite time blowup is proved.

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，黑龙江省数学会常务理事，黑龙江省青年学术骨干。近二十年来致力于利用位势井理论研究非线性偏微分方程的解关于初值的依赖问题，已在ARMA, JFA, CVPDE, JDE, SIMA, Physica D, DCDS, JGA,中国科学数学等杂志上发表SCI论文110余篇。

邀请人：穆春来        王华桥

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