Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Kim, Kyoungsun"'
According to the Eshelby conjecture, an ellipse or ellipsoid is the only shape that induces an interior uniform strain under a uniform far-field loading. We extend the Eshelby conjecture to domains of general shape for anti-plane elasticity. Specific
Externí odkaz:
http://arxiv.org/abs/1807.09981
We investigate anomalous localized resonance on the circular coated structure and cloaking related to it in the context of elasto-static systems. The structure consists of the circular core with constant Lam\'e parameters and the circular shell of ne
Externí odkaz:
http://arxiv.org/abs/1612.08384
We first investigate spectral properties of the Neumann-Poincar\'e (NP) operator for the Lam\'e system of elasto-statics. We show that the elasto-static NP operator can be symmetrized in the same way as that for Laplace operator. We then show that ev
Externí odkaz:
http://arxiv.org/abs/1510.00989
Publikováno v:
J. London Math. Soc. (2016) Vol 93 (2): 519-545
We consider well-posedness of the boundary value problem in presence of an inclusion with complex conductivity $k$. We first consider the transmission problem in $\mathbb{R}^d$ and characterize solvability of the problem in terms of the spectrum of t
Externí odkaz:
http://arxiv.org/abs/1406.3873
The size estimation problem in electrical impedance tomography is considered when the conductivity is a complex number and the body is two-dimensional. Upper and lower bounds on the volume fraction of the unknown inclusion embedded in the body are de
Externí odkaz:
http://arxiv.org/abs/1310.2439
If a core of dielectric material is coated by a plasmonic structure of negative dielectric material with non-zero loss parameter, then anomalous localized resonance may occur as the loss parameter tends to zero and the source outside the structure ca
Externí odkaz:
http://arxiv.org/abs/1306.6679
We consider the Lam\'e system of linear elasticity when the inclusion has the extreme elastic constants. We show that the solutions to the Lam\'e system converge in appropriate $H^1$-norms when the shear modulus tends to infinity (the other modulus,
Externí odkaz:
http://arxiv.org/abs/1212.6889
Autor:
Alessandrini, Giovanni, Kim, Kyoungsun
Publikováno v:
Journal of Inverse and Ill-posed Problems 20, 4 (2012) 389-400
We prove an optimal stability estimate for Electrical Impedance Tomography with local data, in the case when the conductivity is precisely known on a neighborhood of the boundary. The main novelty here is that we provide a rather general method which
Externí odkaz:
http://arxiv.org/abs/1202.5485
Li-Vogelius and Li-Nirenberg gave a gradient estimate for solutions of strongly elliptic equations and systems of divergence forms with piecewise smooth coefficients, respectively. The discontinuities of the coefficients are assumed to be given by ma
Externí odkaz:
http://arxiv.org/abs/1103.0832
We will show that the same type of estimates known for the fundamental solutions for scalar parabolic equations with smooth enough coefficients hold for the first order derivatives of fundamental solution with respect to space variables of scalar par
Externí odkaz:
http://arxiv.org/abs/0906.4438