Chelyabinskiy Fiziko-Matematicheskiy Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Chelyab. Fiz.-Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2023, Volume 8, Issue 1, Pages 72–82
DOI: https://doi.org/10.47475/2500-0101-2023-18106 (Mi chfmj311) 		 
Mathematics

Asymptotic expansions of resonances for waveguides coupled through converging windows

E. S. Trifanova, A. S. Bagmutov, V. G. Katasonov, I. Yu. Popov

ITMO University, St. Petersburg, Russia
Full-text PDF (859 kB)
References:
PDF
HTML
DOI: https://doi.org/10.47475/2500-0101-2023-18106
Abstract: Two-dimensional waveguides coupled through small windows are considered. First terms of the asymptotic expansion of resonances are obtained and studied for the case when the distance between the windows decreases. Method of matching of the asymptotic expansions of solutions of boundary value problems is used.
Keywords: resonance, asymptotics, coupled waveguides, scattering, low-dimensional system.
Funding agency Grant number
Russian Science Foundation 22-11-00046
The work was supported by Russian Science Foundation (grant number 22-11-00046).
Received: 11.07.2022
Revised: 12.01.2023
Bibliographic databases:
Document Type: Article
UDC: 517.955.8:517.956.2
Language: English
Citation: E. S. Trifanova, A. S. Bagmutov, V. G. Katasonov, I. Yu. Popov, “Asymptotic expansions of resonances for waveguides coupled through converging windows”, Chelyab. Fiz.-Mat. Zh., 8:1 (2023), 72–82
Citation in format AMSBIB
\Bibitem{TriBagKat23}
\by E.~S.~Trifanova, A.~S.~Bagmutov, V.~G.~Katasonov, I.~Yu.~Popov
\paper Asymptotic expansions of resonances for waveguides coupled through converging windows
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2023
\vol 8
\issue 1
\pages 72--82
\mathnet{http://mi.mathnet.ru/chfmj311}
\crossref{https://doi.org/10.47475/2500-0101-2023-18106}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4571398}
Linking options:
  • https://www.mathnet.ru/eng/chfmj311
  • https://www.mathnet.ru/eng/chfmj/v8/i1/p72
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Chelyabinskiy Fiziko-Matematicheskiy Zhurnal
    Statistics & downloads:
    Abstract page:43
    Full-text PDF :14
    References:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024