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강연자 임미경
소속 KAIST
date 2012-05-03
We consider the problem of identifying the material properties from boundary measurements. For the conductivity case, this is known as Calderon problem: “Is it possible to determine the electrical conductivity inside a domain from the boundary voltage and current measurements?” The uniqueness for Calderon problem holds when the conductivity is restricted to be isotropic, where by definition the material properties are independent of direction. For the anisotropic case, the uniqueness fails to hold since, using a change of coordinates, it is possible to make two different anisotropic conductivity profiles which give the same boundary data. We will see how to make “Harry Potter’s invisibility cloak” using a singular change of coordinates, which blows up a point to the region being cloaked. In addition, the regularization or the approximation of singular cloaking will be explained. Finally, I will provide a new method of constructing very effective near-cloaking structures in order to achieve enhanced near-invisibility.
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List of Articles
카테고리 제목 소속 강연자
수학강연회 Topology and number theory file Univ. College London/포항공대 김민형
수학강연회 Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields file Univ. Bremen Keivan Mallahi-Karai
수학강연회 <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations file UNIST 배한택
수학강연회 Quantitative residual non-vanishing of special values of various L-functions file UNIST 선해상
수학강연회 Counting number fields and its applications file UNIST 조재현
수학강연회 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
수학강연회 <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world file UCLA Stanley Osher
수학강연회 On the resolution of the Gibbs phenomenon file SUNY Buffalo 정재훈
수학강연회 The Shape of Data file Stanford University Gunnar E. Carlsson
수학강연회 A-infinity functor and topological field theory file Simons Center for Geometry and Physics Kenji Fukaya
수학강연회 Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
수학강연회 Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
수학강연회 Partial differential equations with applications to biology file POSTECH 황형주
수학강연회 Limit computations in algebraic geometry and their complexity file POSTECH 현동훈
수학강연회 Variational Methods without Nondegeneracy file POSTECH 변재형
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
수학강연회 Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
수학강연회 Solver friendly finite element methods file Oklahoma State Univ. 구자언
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