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, 2010, Volume 87, Issue 2, Pages 262–266
DOI: https://doi.org/10.4213/mzm8371
(Mi mzm8371)
 

This article is cited in 32 scientific papers (total in 32 papers)

Continuous Approximations of Goldshtik's Model

D. K. Potapov

Saint-Petersburg State University
References:
Abstract: We consider continuous approximations to the Goldshtik problem for separated flows in an incompressible fluid. An approximated problem is obtained from the initial problem by small perturbations of the spectral parameter (vorticity) and by approximating the discontinuous nonlinearity continuously in the phase variable. Under certain conditions, using a variational method, we prove the convergence of solutions of the approximating problems to the solution of the original problem.
Keywords: continuous approximation, nonlinear elliptic differential equation, boundary-value problem, Laplace operator, discontinuous nonlinearity, separated flow.
Received: 05.02.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 2, Pages 244–247
DOI: https://doi.org/10.1134/S000143461001030X
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: D. K. Potapov, “Continuous Approximations of Goldshtik's Model”, Mat. Zametki, 87:2 (2010), 262–266; Math. Notes, 87:2 (2010), 244–247
Citation in format AMSBIB
\Bibitem{Pot10}
\by D.~K.~Potapov
\paper Continuous Approximations of Goldshtik's Model
\jour Mat. Zametki
\yr 2010
\vol 87
\issue 2
\pages 262--266
\mathnet{http://mi.mathnet.ru/mzm8371}
\crossref{https://doi.org/10.4213/mzm8371}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2731476}
\zmath{https://zbmath.org/?q=an:1198.35199}
\transl
\jour Math. Notes
\yr 2010
\vol 87
\issue 2
\pages 244--247
\crossref{https://doi.org/10.1134/S000143461001030X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000276064800030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949966863}
Linking options:
  • https://www.mathnet.ru/eng/mzm8371
  • https://doi.org/10.4213/mzm8371
  • https://www.mathnet.ru/eng/mzm/v87/i2/p262
  • This publication is cited in the following 32 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:819
    Full-text PDF :222
    References:86
    First page:24
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024