4 papers · 1 filter
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…
Polarization tensor vanishing structure of general shape: Existence for small perturbations of balls
Hyeonbae Kang, Xiaofei Li, Shigeru Sakaguchi
The polarization tensor is a geometric quantity associated with a domain. It is a signature of the small inclusion's existence inside a domain and used in the small volume expansio…
Existence of coated inclusions of general shape weakly neutral to multiple fields in two dimensions
Hyeonbae Kang, Xiaofei Li, Shigeru Sakaguchi
A two dimensional inclusion of core-shell structure is neutral to multiple uniform fields if and only if the core and the shell are concentric disks, provided that the conductivity…
Construction of weakly neutral inclusions of general shape by imperfect interfaces
Hyeonbae Kang, Xiaofei Li
Upon insertion of an inclusion into a medium with the uniform field, if the field is not perturbed at all outside the inclusion, then it is called a neutral inclusion. It is called…