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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 1, Pages 5–11
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-5-11 (Mi nano1078) 		 
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
Full-text PDF (343 kB)
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-5-11
Abstract: 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.
Keywords: perforation, elliptic operator, unbounded domain, homogenization, norm resolvent convergence.
Received: 28.01.2022
Revised: 31.01.2022
Accepted: 02.02.2022
Bibliographic databases:
Document Type: Article
Language: English
Citation: Giuseppe Cardone, Tiziana Durante, “Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation”, Nanosystems: Physics, Chemistry, Mathematics, 13:1 (2022), 5–11
Citation in format AMSBIB
\Bibitem{CarDur22}
\by Giuseppe~Cardone, Tiziana~Durante
\paper Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 1
\pages 5--11
\mathnet{http://mi.mathnet.ru/nano1078}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-1-5-11}
\elib{https://elibrary.ru/item.asp?id=48016818 }
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