报告题目：Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
工作单位：哈尔滨工程大学
报告时间：11月15日，下午3:00-5:30
腾讯会议：3735237756
报告摘要：
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 positve initial energy blowup respectively. And for the high initial energy case, the finite time blowup is proved.
报告人简介：
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。致力于利用位势井理论研究非线性偏微分方程的适定性理论，发表SCI论文110余篇，ESI高被引论文7篇，包括ARMA, JFA, CVPDE, JDE, SIMA, ZAMP, Physica D, ANA, QAM, DCDS, ACV, JGA, JMP, 中国科学数学，数学学报等，被引总频次1500余次。《哈尔滨工程大学学报》编委， Advances in Nonlinear Analysis 主编， Communications in Analysis and Mechanics主编，Applied Numerical Mathematics等杂志的编委。
