Zobrazeno 1 - 10
of 372
pro vyhledávání: '"HYEONBAE KANG"'
Autor:
Hyeonbae Kang, Shigeru Sakaguchi
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 3, Pp 1-7 (2023)
We consider the Cauchy problem for the heat diffusion equation in the whole Euclidean space consisting of two media with different constant conductivities, where initially one medium has temperature 0 and the other has temperature 1. Under the assump
Externí odkaz:
https://doaj.org/article/2afff68b157e4c66b8ab1688927edb96
Autor:
Shota Fukushima, Hyeonbae Kang
Publikováno v:
Journal of Spectral Theory; 2024, Vol. 14 Issue 3, p1109-1145, 37p
Publikováno v:
SIAM Journal on Mathematical Analysis. 54:6164-6185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc2cec7721607822dcf4f1a4bf5b29a1
https://doi.org/10.1137/21m1452275
https://doi.org/10.1137/21m1452275
Publikováno v:
Journal d'Analyse Mathématique. 146:791-800
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b84a658d580a17e0dd64f1585325c232
https://doi.org/10.1007/s11854-022-0206-7
https://doi.org/10.1007/s11854-022-0206-7
Autor:
Yong-Gwan Ji, Hyeonbae Kang
Publikováno v:
International Mathematics Research Notices. 2023:7638-7685
We investigate the field concentration for conductivity equations in the presence of closely located circular inclusions by exploiting the spectral nature residing behind the phenomenon of the field concentration. This approach enables us not only to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c63a9f14adbdba2fa344ecfd7d00124
https://doi.org/10.1093/imrn/rnac057
https://doi.org/10.1093/imrn/rnac057
Polarization tensor vanishing structure of general shape: Existence for small perturbations of balls
Publikováno v:
Asymptotic Analysis. 125:101-132
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 expansion method to reconstruct small inclusions by boundary measurements. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::063b54e77d5cb09ebdfcb40345499aaf
https://doi.org/10.3233/asy-201651
https://doi.org/10.3233/asy-201651
Autor:
Yong-Gwan Ji, Hyeonbae Kang
Publikováno v:
International Mathematics Research Notices. 2023:6299-6300
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e97f172c66bff4ee44fdb73d9ad0e1a
https://doi.org/10.1093/imrn/rnad024
https://doi.org/10.1093/imrn/rnad024
Autor:
Yong-Gwan Ji, Hyeonbae Kang
Publikováno v:
Mathematische Annalen.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cf834d8877786e2e19d9d508632bd5f
https://doi.org/10.1007/s00208-022-02482-w
https://doi.org/10.1007/s00208-022-02482-w
Autor:
Hyeonbae Kang, KiHyun Yun
Publikováno v:
Journal of Differential Equations. 269:2977-3002
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 e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::826701480192cffbba9e895cc112043c
https://doi.org/10.1016/j.jde.2020.02.018
https://doi.org/10.1016/j.jde.2020.02.018
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 140:211-229
In this paper, we consider the Neumann–Poincare type operator associated with the Lame system of linear elasticity. It is known that if the boundary of a planar domain is smooth enough, it has eigenvalues converging to two different points determin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::abd2c13810c411b774096c1974458b2e
https://doi.org/10.1016/j.matpur.2020.06.008
https://doi.org/10.1016/j.matpur.2020.06.008