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Mathematical Analysis of Mathematical Analysis and Applications

超材料的数学研究及应用研讨会

会议编号:  M161201

时间:  2016-12-05 ~ 2016-12-09

浏览次数:  259

组织者:   Yunqing Huang, Jichun Li, Peter Monk

会议介绍

    Electromagnetic metamaterials are artificially structured composite media with unique and exotic properties that are not observed in natural materials. The first metamaterials with both negative permittivity and permeability was successfully constructed in 2000. The success triggered a new wave in study and design of metamaterials and investigation of potential applications in diverse areas.

    Metamaterials give rise to many interesting and challenging mathematical problems. In this workshop, we plan to focus on the following issues, but not limited to: 
    1) Metamaterials require the novel incorporation of complex material models into Maxwell’s equations. How to validate those models is challenging: Is the simple averaging technique good enough? Under what scales are those models applicable? 
    2) There exist some PDE models proposed by engineers and physics. However, very few results have been stated concerning well-posedness issues: solvability, stability, existence and regularity. We need some pure PDE mathematicians to get involved. 
    3) From the computational modeling point view, much more work is needed. Design of a functional metamaterial leads to a PDE constrained optimization problem, which needs sophisticated numerical analysis and scientific computation.


组织者

Yunqing Huang, Xiangtan University, China
Jichun Li, University of Nevada, Las Vegas, USA
Peter Monk, University of Delaware, USA

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