11 citations · 18 across the 9 of their papers we have counts for
10 papers
Ellipsoidal characterization of neutral inclusions for imperfect bonding of high-conductivity type
Junyong Eom, Shota Fukushima, Yong-Gwan Ji +3
This paper concerns neutral inclusions for imperfect bonding of high-conductivity type. An inclusion, which is a bounded domain, is said to be of imperfect bonding of high-conducti…
The transmission problem with imperfect interfaces of small resistance
Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang
We consider the transmission problem in presence of interfaces with imperfect bonding. The imperfect bonding condition is characterized by the positive resistance along the interfa…
Finiteness of the stress in presence of closely located inclusions with imperfect bonding
Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang +1
If two conducting or insulating inclusions are closely located, the gradient of the solution may become arbitrarily large as the distance between inclusions tends to zero, resultin…
A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincaré operator in elasticity
Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang
We prove that the space of vector fields on the boundary of a bounded domain with the Lipschitz boundary in three dimensions is decomposed into three subspaces: elements of the fir…
Spectral properties of the Neumann-Poincaré operator on rotationally symmetric domains in two dimensions
Yong-Gwan Ji, Hyeonbae Kang
This paper concerns the spectral properties of the Neumann-Poincaré operator on -fold rotationally symmetric planar domains. An -fold rotationally symmetric simply connected…
Spectrum of the Neumann-Poincaré operator and optimal estimates for transmission problems in presence of two circular inclusions
Yong-Gwan Ji, Hyeonbae Kang
We consider the field concentration for the transmission problems of the homogeneous and inhomogeneous conductivity equations in the presence of closely located circular inclusions…
Neutral inclusions, weakly neutral inclusions, and an over-determined problem for confocal ellipsoids
Yong-Gwan Ji, Hyeonbae Kang, Xiaofei Li +1
An inclusion is said to be neutral to uniform fields if upon insertion into a homogenous medium with a uniform field it does not perturb the uniform field at all. It is said to be…
Spectral structure of the Neumann--Poincaré operator on tori
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2
We address the question whether there is a three-dimensional bounded domain such that the Neumann--Poincaré operator defined on its boundary has infinitely many negative eigenvalue…
A concavity condition for existence of a negative Neumann-Poincaré eigenvalue in three dimensions
Yong-Gwan Ji, Hyeonbae Kang
It is proved that if a bounded domain in three dimensions satisfies a certain concavity condition, then the Neumann-Poincaré operator on the boundary of the domain or its inversion…
Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2
We first investigate spectral properties of the Neumann-Poincaré (NP) operator for the Lamé system of elasto-statics. We show that the elasto-static NP operator can be symmetrized…