讲座人简介:
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,“龙江学者”特聘教授,黑龙江省数学会常务理事,黑龙江省青年学术骨干。近二十年来致力研究非线性偏微分方程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, JLMS,JFA, CVPDE, JDE, QAM, DCDS,中国科学数学等。被引总频次1500余次,ESI高被引论文7篇。目前担任Advances in Nonlinear Analysis 和 Communications in Analysis and Mechanics主编,Applied Numerical Mathematics、Electronic Research Archive(ERA)、Opuscula Mathematica等5个国际学术期刊编委。
讲座简介:
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. This is a collaborated work with Dr. Jiangbo Han at Harbin Engineering University/Inner Mongolia University, Dr. Chao Yang at AGH University of Science and Technology, Poland, and Professor Keyan Wang at Shanghai University of Finance and Economics.