学术报告会：Global well-posedness and exponential stability for Maxwell’s equations under delayed boundary condition in metamaterials

报告题目：Global well-posedness and exponential stability for Maxwell’s equations under delayed boundary condition in metamaterials

报告人：姚昌辉郑州大学教授

报告时间：2024年1月19日周五10：00

报告地点：S3-313

摘要：We develop an initial-boundary value problem derived from the Maxwell’s system with a nonWe develop an initial-boundary value problem derived from the Maxwell’s system with a nonlinear feedback-type boundary mechanism in metamaterials, which both involves polarization, magnetization effect and time-localized delay effect in a bounded domain. Based on the nonlinear semigroup theory and the properties of viscoelasticity theory, we show the well-posedness of solution in an appropriate Hilbert space. Under some suitable assumplinear feedback-type boundary mechanism in metamaterials, which both involves polarization, magnetization effect and time-localized delay effect in a bounded domain. Based on the nonlinear semigroup theory and the properties of viscoelasticity theory, we show the well-posedness of solution in an appropriate Hilbert space. Under some suitable assumptions and geometric conditions, we prove the exponential stability of the Maxwell’s system.

个人简介：

姚昌辉，1977年01月出生，博士、河南省特聘教授，博士生导师。中国仿真学会不确定性系统分析与仿真专业委员会常务委员，中国数学会计算数学分会常务理事，河南省数字图形图像学会主任委员。2006年6月在中国科学院获得计算数学专业理学博士学位，2008在挪威Bergen大学获得应用数学专业哲学博士学位。 曾主持国家自然科学基金青年基金1项，国家自然科学基金面上项目2项，参与完成国家自然科学基金面上项目2项，2021年出版河南省“十四五”普通高等教育规划教材《数值分析》，2022年获得由河南省人民政府颁发的自然科学奖二等奖。