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math.AP2026
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…
math.AP2024
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…
math.AP2023
Decompositions of surface vector fields and topological characterizations of the codimensions
Shota Fukushima, Hyeonbae Kang
We prove that the space of vector fields on the boundary of a bounded domain in three dimensions is decomposed into three subspaces orthogonal to each other: elements of the first…