7 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…
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…