Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2014, Volume 95, Issue 3, Pages 417–432
DOI: https://doi.org/10.4213/mzm10424 (Mi mzm10424) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotics of the Spectrum and Eigenfunctions of the Magnetic Induction Operator on a Compact Two-Dimensional Surface of Revolution

A. I. Esinaab, A. I. Shafarevichcb

a A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moskovskaya obl.
c M. V. Lomonosov Moscow State University
Full-text PDF (595 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10424
Abstract: Magnetic fields in conducting liquids (in particular, magnetic fields of galaxies, stars, and planets) are described by the magnetic induction operator. In this paper, we study the spectrum and eigenfunctions of this operator on a compact two-dimensional surface of revolution. For large magnetic Reynolds numbers, the asymptotics of the spectrum is studied; equations defining the eigenvalues (quantization conditions) are obtained; and examples of spectral graphs near which these points are located are given. The spatial structure of the eigenfunctions is studied.
Keywords: magnetic induction operator, two-dimensional surface of revolution, spectral graph, Stokes line, Reynolds number, quantization conditions, turning point, WKB asymptotics, monodromy matrix.
Received: 19.04.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 3, Pages 374–387
DOI: https://doi.org/10.1134/S0001434614030092
Bibliographic databases:
Document Type: Article
UDC: 517.958.53
Language: Russian
Citation: A. I. Esina, A. I. Shafarevich, “Asymptotics of the Spectrum and Eigenfunctions of the Magnetic Induction Operator on a Compact Two-Dimensional Surface of Revolution”, Mat. Zametki, 95:3 (2014), 417–432; Math. Notes, 95:3 (2014), 374–387
Citation in format AMSBIB
\Bibitem{EsiSha14}
\by A.~I.~Esina, A.~I.~Shafarevich
\paper Asymptotics of the Spectrum and Eigenfunctions of the Magnetic Induction Operator on a Compact Two-Dimensional Surface of Revolution
\jour Mat. Zametki
\yr 2014
\vol 95
\issue 3
\pages 417--432
\mathnet{http://mi.mathnet.ru/mzm10424}
\crossref{https://doi.org/10.4213/mzm10424}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3298894}
\elib{https://elibrary.ru/item.asp?id=21276992}
\transl
\jour Math. Notes
\yr 2014
\vol 95
\issue 3
\pages 374--387
\crossref{https://doi.org/10.1134/S0001434614030092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335457300009}
\elib{https://elibrary.ru/item.asp?id=21874572}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899675306}
Linking options:
  • https://www.mathnet.ru/eng/mzm10424
  • https://doi.org/10.4213/mzm10424
  • https://www.mathnet.ru/eng/mzm/v95/i3/p417
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:488
    Full-text PDF :136
    References:71
    First page:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024