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MATHEMATICS
Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation
Giuseppe Cardonea, Tiziana Duranteb a Universita di Napoli "Federico II", Napoli, Italy
b University of Salerno, 84084 Fisciano (SA), Italy
Аннотация:
We consider a general second order elliptic operator in a planar waveguide perforated by small holes distributed along a curve and subject to classical boundary conditions on the holes. Under weak assumptions on the perforation, we describe all possible homogenized problems.
Ключевые слова:
perforation, elliptic operator, unbounded domain, homogenization, norm resolvent convergence.
Поступила в редакцию: 28.01.2022 Исправленный вариант: 31.01.2022 Принята в печать: 02.02.2022
Образец цитирования:
Giuseppe Cardone, Tiziana Durante, “Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation”, Наносистемы: физика, химия, математика, 13:1 (2022), 5–11
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano1078 https://www.mathnet.ru/rus/nano/v13/i1/p5
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