Russian Academy of Sciences. Izvestiya Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 2, Pages 233–260
DOI: https://doi.org/10.1070/IM1994v043n02ABEH001563 (Mi im839) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Splitting of the poles of a Helmholtz resonator

R. R. Gadyl'shin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (1358 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1994v043n02ABEH001563
Abstract: It is shown that in a neighborhood of a two-fold eigenvalue of the Neumann problem there are two poles of the Green's function of the Helmholtz resonator. Asymptotic expressions for them with respect to a small parameter $\varepsilon$ (the linear size of the hole) are constructed, and the principal terms of the asymptotics are written out for the corresponding scattering and radiation problems.
Received: 16.01.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 5, Pages 44–74
Bibliographic databases:
UDC: 517.956
MSC: Primary 35J05, 35P25; Secondary 47A40, 78A45, 70K30
Language: English
Original paper language: Russian
Citation: R. R. Gadyl'shin, “Splitting of the poles of a Helmholtz resonator”, Izv. RAN. Ser. Mat., 57:5 (1993), 44–74; Russian Acad. Sci. Izv. Math., 43:2 (1994), 233–260
Citation in format AMSBIB
\Bibitem{Gad93}
\by R.~R.~Gadyl'shin
\paper Splitting of the poles of a Helmholtz resonator
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 5
\pages 44--74
\mathnet{http://mi.mathnet.ru/im839}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1252756}
\zmath{https://zbmath.org/?q=an:0827.35095}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..43..233G}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 2
\pages 233--260
\crossref{https://doi.org/10.1070/IM1994v043n02ABEH001563}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QC45400003}
Linking options:
  • https://www.mathnet.ru/eng/im839
  • https://doi.org/10.1070/IM1994v043n02ABEH001563
  • https://www.mathnet.ru/eng/im/v57/i5/p44
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:474
    Russian version PDF:124
    English version PDF:12
    References:77
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024