报告题目：Global quantitative stability of wave equations with strong and weak dampings

报 告 人：徐润章 教授 (哈尔滨工程大学)

报告时间：2024年10月30日（星期三） 9:00-10:00

报告地点：腾讯会议（线上）     会议ID：863-1094-3799

校内联系人：曹杨 教授       联系方式：84708351-8316

报告摘要：In this talk, we are concerned with the description of global quantitative stability of wave equations with linear strong damping and linear or nonlinear weak damping. By giving some energy decay estimates, we obtain several conclusions about the continuous dependence of the global solution on the initial data and the coefficients of the strong damping term and linear or nonlinear weak damping term. This work also establishes a new idea to use the dissipative effect to obtain the better continuous dependence conclusions, which also reflect the dissipative properties of the solution.

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，并针对偏微分方程中的三大基本模型方程(波方程，热方程和薛定谔方程)的适定性理论，将碎片化研究提升到同一框架下的系统化研究，开创了全能级系统化研究初值与解的适定性关系的新范式。至今已发表SCI论文110余篇，包括ARMA, Math Annalen, JFA, CVPDE, JDE, QAM, DCDS,中国科学数学等。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)。担任Advances in Nonlinear Analysis 主编， Communications in Analysis and Mechanics主编，Applied Numerical Mathematics编委，  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。 The 10th-13th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory 学术委员会委员（Scientific Program Committee）；第十四届-第十九届，非线性偏微分方程暑期讲习班暨学术会议组织 委员会委员；12th-13th Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences 组织委员会委员，The 10th International Conference on Partial Differential Equations & Numerical Analysis, 组委会委员。“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。