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Well-posedness study for a time-domain spherical cloaking model

Jichun Li University of Nevada Las Vegas

Numerical Analysis and Scientific Computing mathscidoc:1702.25007

Computers and Mathematics with Applications, 68, 1871–1881, 2014
In this paper, we study a time-domain spherical cloaking model recently introduced by Zhao and Hao (2009). This model is quite complicated and is composed of four coupled differential equations. Here we first prove the existence and uniqueness of a solution for this model. Then we obtain a stability result, which analysis is quite involved due to the coupling between the four variables. To our best knowledge, this is the first well-posedness study carried out for the time-domain cloaking model with metamaterials.
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@inproceedings{jichun2014well-posedness,
  title={Well-posedness study for a time-domain spherical cloaking model},
  author={Jichun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205130916910165170},
  booktitle={Computers and Mathematics with Applications},
  volume={68},
  pages={1871–1881},
  year={2014},
}
Jichun Li. Well-posedness study for a time-domain spherical cloaking model. 2014. Vol. 68. In Computers and Mathematics with Applications. pp.1871–1881. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205130916910165170.
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