讲座题目:Inverse Problems on Piezoelectric Equations
讲座时间:2021年12月28日,星期二,上午10:00-12:00
腾讯会议 ID:987-396-911
腾讯会议密码:1234
讲座人:徐翔副教授,浙江大学
讲座简介:
In this talk, recent progress on inverse problems for piezoelectric equations is discussed. We show a uniqueness result on recovering coefficients of piecewise homogeneous piezoelectric equations from a localized Dirichlet-to-Neumann map on partial boundaries. Assume the bounded domain can be divided into finite subdomains, in which the unknown coefficients including elastic tensor, piezoelectric tensor and dielectric tensor are constants. Two different cases are considered: the subdomains are either known and Lipschitz, or unknown and subanalytic. For both cases, the unknown coefficients can be uniquely determined from a given localized Dirichlet-to-Neumann map. Moreover, for a specific hexagonal piezoelectric equation, we obtained a first order perturbation formula for the phase velocity of Bleustein-Gulyaev (BG) waves, which expresses the shift in the velocity from its comparative value, caused by the perturbation of the elasticity tensor, the piezoelectric tensor and of the dielectric tensor.
讲座人简介:
徐翔,浙江大学“百人计划”研究员、长聘副教授。研究主要集中在反问题的理论与计算,共发表SCI论文30余篇,其中部分论文被列为ESI高引论文和Inverse Problems亮点收录。曾获得曙光青年学术奖、浙江省特聘专家、浙江省151人才工程计划。主持国家自然科学基金委面上项目,参与国家自然科学基金委创新群体项目、重大研究计划重点项目、国际(地区)交流合作等多项项目。现担任中国计算数学会第十届理事,浙江省数学会第十二届理事。
组织者:
贾骏雄 西安交通大学副教授
孟德宇 西安交通大学教授
赵熙乐 电子科技大学教授
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会议时间:2021/12/28 10:00-12:00 (GMT+08:00) 中国标准时间 - 北京
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