15 citations · 31 across the 7 of their papers we have counts for
6 papers · 1 filter
Spectral resolution of the Neumann-Poincaré operator on intersecting disks and analysis of plasmon resonance
Hyeonbae Kang, Mikyoung Lim, Sanghyeon Yu
The purpose of this paper is to investigate the spectral nature of the Neumann-Poincaré operator on the intersecting disks, which is a domain with the Lipschitz boundary. The compl…
Spectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
When perfectly conducting or insulating inclusions are closely located, stress which is the gradient of the solution to the conductivity equation can be arbitrarily large as the di…
Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
Hyeonbae Kang, Graeme W. Milton
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume ele…
Bounds on the volume fraction of the two-phase shallow shell using one measurement
Hyeonbae Kang, Graeme W. Milton, Jenn-Nan Wang
We study the size estimate problem for the two-phase shallow shell equations in this paper. Our aim is to derive bounds on the volume fraction of each phase assuming that the mater…
Equivalence of inverse problems for 2D elasticity and for the thin plate with finite measurements and its applications
Hyeonbae Kang, Graeme Milton, Jenn-Nan Wang
In this paper, we prove that the inverse problems for 2D elasticity and for the thin plate with boundary data (finite or full measurements) are equivalent. Having proved this equiv…
Layer Potential Techniques for the Narrow Escape Problem
Habib Ammari, Kostis Kalimeris, Hyeonbae Kang +1
The narrow escape problem consists of deriving the asymptotic expansion of the solution of a drift-diffusion equation with the Dirichlet boundary condition on a small absorbing par…