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作者:Hyeonbae Kang , Mikyoung Lim , Sanghyeon Yu
来源:[J].Archive for Rational Mechanics and Analysis(IF 2.292), 2017, Vol.226 (1), pp.83-115
摘要: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 complete spectral resolution of the operator is derived, which shows, in particular, that it admits ...
作者:Hyeonbae Kang , KiHyun Yun
来源:[J].Journal of Differential Equations(IF 1.48), 2020
摘要:Abstract(#br)A field in a homogeneous medium can be amplified or enhanced by inserting closely located perfectly conducting inclusions into the medium. In this paper precise quantitative estimates for such enhancement are derived when the given field is the one excited by an...
作者:Hyeonbae Kang , KiHyun Yun
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2019, Vol.479 (2), pp.1670-1707
摘要:Abstract(#br)This paper studies in a quantitatively precise manner the field enhancement due to presence of an emitter of the dipole type near the bow-tie structure of perfectly conducting inclusions in the two-dimensional space. We put special emphasis on field enhancement near ...
作者:Hyeonbae Kang , KiHyun Yun
来源:[J].Journal of Differential Equations(IF 1.48), 2018
摘要:Abstract(#br)This paper deals with the field enhancement due to insertion of a bow-tie structure of perfectly conducting inclusions into the two-dimensional space with a given field. The field enhancement is represented by the gradient blow-up of a solution to the conductivity pr...
作者:... Daewon Chung , Hyeonbae Kang , Han Wang
来源:[J].Applied and Computational Harmonic Analysis(IF 2.485), 2015, Vol.38 (1), pp.140-147
摘要:Abstract(#br)We derive transformation formulas for the generalized polarization tensors under rigid motions and scaling in three dimensions, and use them to construct an infinite number of invariants under those transformations. These invariants can be used as shape descriptors f...
作者:Kazunori Ando , Hyeonbae Kang
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2016, Vol.435 (1), pp.162-178
摘要:Abstract(#br)We investigate in a quantitative way the plasmon resonance at eigenvalues and the essential spectrum (the accumulation point of eigenvalues) of the Neumann–Poincaré operator on smooth domains. We first extend the symmetrization principle so that the single layer...
作者:Hyeonbae Kang , Hyundae Lee , KiHyun Yun
来源:[J].Mathematische Annalen(IF 1.378), 2015, Vol.363 (3-4), pp.1281-1306
摘要:Abstract(#br)If stiff inclusions are closely located, then the stress, which is the gradient of the solution, may become arbitrarily large as the distance between two inclusions tends to zero. In this paper we investigate the asymptotic behavior of the stress concentration factor...
作者:Hyeonbae Kang
来源:[J].Mechanics of Materials(IF 1.936), 2009, Vol.41 (4), pp.405-410
摘要:Abstract(#br)In this paper, we review recent solutions to conjectures of Pólya-Szegö and Eshelby, and their relation to the classical Newtonian potential problem. We also review some recent progress on construction of extremal structures with multiple components.
作者:Hyeonbae Kang , Hyungwoon Koo
来源:[J].Journal of Functional Analysis(IF 1.252), 2001, Vol.185 (1), pp.220-239
摘要:Abstract(#br)We obtain optimal size estimates of the harmonic Bergman kernel and its derivatives on smooth domains. Based on these estimates we derive mapping properties of the harmonic Bergman projection on Lebesgue spaces and Lipschitz spaces.

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