报告地点：行健楼学术活动室526
邀请人：吴奕飞教授
报告人: 韩忠杰，天津大学数学学院教授，博士生导师，主要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, SIAM Journal on Applied Mathematics, IEEE Transactions on Automatic Control, Journal of Differential Equations, ESAIM - Control Optimisation and Calculus of Variations等控制理论及应用数学相关学术期刊，主持国家自然科学基金面上项目3项。
报告摘要：The stability 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 zero under smooth initial conditions. Especially, the optimality of the obtained explicit decay rate is verified for this system through careful resolvent estimate. Moreover, we further consider the case that the damping coefficient is degenerate at the interface. An explicit decay rate which is dependent on the degeneration of the damping coefficient is further estimated.
