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报告题目：Global well-posedness of coupled parabolic systems
报 告 人：徐润章，哈尔滨工程大学 教授
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，至今已发表SCI论文110余篇，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，单篇超40次引用的论文9篇，热点论文1篇(数学学术领域中最优秀的0.1%之列)，ESI高被引论文7篇(数学学术领域中最优秀的前1%之列)。 Advances in Nonlinear Analysis 主编， Communications in Analysis and Mechanics主编，Applied Numerical Mathematics编委， Boundary Value Problems 副主编; Electronic Research Archive (ERA)编委；The Annals of the University of Craiova - Mathematics and Computer Science series 编委，Opuscula Mathematica编委，《中国工业与应用数学会简讯》编委。 “中罗应用数学中心(CRAM)”创始成员，美国数学科学研究所学术期刊科学顾问。
报告时间：2024年6月3日（星期一）上午10:00-11:30
报告地点：文渊楼B119
主办单位：数学与统计学院
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