讲座主题：基于局部Kelvin-Voigt型阻尼的波方程的镇定问题

专家姓名：韩忠杰

工作单位：天津大学

讲座时间：2022年1月4日 14:30-15:30

讲座地点：腾讯会议，会议ID：654-328-245

主办单位：烟台大学数学与信息科学学院

内容摘要：

The stabilization of a multi-dimensional wave equation on cuboidal domain is considered. By applying the localized Kelvin-Voigt damping, in a region where the Geometric Control Condition (GCC) is not satisfied, we prove that the system can be polynomially stabilized to 0 with the polynomial decay rate

under smooth initial conditions. Especially, the optimality of this explicit decay rate is verified for this system through a careful resolvent estimate. We further consider the case that the damping coefficient is degenerated at the interface. An explicit decay rate which is dependent on the degeneration of the damping coefficient is further estimated.

主讲人介绍：

天津大学数学学院教授，从事分布参数系统控制理论方面的研究。主要成果发表在SIAM Journal on Control and Optimization, IEEE Transactions on Automatic Control, ESAIM -Control Optimisation and Calculus of Variations等控制理论相关期刊，主持国家自然科学基金3项（完成2项，在研1项）。