Spectral problem with Steklov condition on a thin perforated interface
- Авторы: Gadyl’shin R.1,2, Piatnitski A.3,4, Chechkin G.5
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Учреждения:
- Bashkir State Pedagogical University
- Bashkir State University
- Narvik University College
- Lebedev Physical Institute
- Faculty of Mechanics and Mathematics
- Выпуск: Том 93, № 1 (2016)
- Страницы: 52-57
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223370
- DOI: https://doi.org/10.1134/S1064562416010191
- ID: 223370
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Аннотация
A two-dimensional Steklov-type spectral problem for the Laplacian in a domain divided into two parts by a perforated interface with a periodic microstructure is considered. The Steklov boundary condition is set on the lateral sides of the channels, a Neumann condition is specified on the rest of the interface, and a Dirichlet and Neumann condition is set on the outer boundary of the domain. Two-term asymptotic expansions of the eigenvalues and the corresponding eigenfunctions of this spectral problem are constructed.
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Об авторах
R. Gadyl’shin
Bashkir State Pedagogical University; Bashkir State University
Автор, ответственный за переписку.
Email: gadylshin@yandex.ru
Россия, ul. Oktyabr’skoi revolyutsii 3a, Ufa, 450000; ul. Zaki Validi 32, Ufa, 450076
A. Piatnitski
Narvik University College; Lebedev Physical Institute
Email: gadylshin@yandex.ru
Норвегия, Narvik, 8505; Leninskii pr. 53, Moscow, 117924
G. Chechkin
Faculty of Mechanics and Mathematics
Email: gadylshin@yandex.ru
Россия, Moscow, 119992