Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 5, Pages 202–213 (Mi smj1500)  
This article is cited in 7 scientific papers (total in 7 papers)

Extremal boundary value problems of the dynamics of a viscous incompressible fluid

A. Yu. Chebotarev
Full-text PDF (1046 kB) Citations (7)
Abstract: We consider the control problem for stationary Navier–Stokes equations. The boundary values of the total head of the flow are taken as control parameter. We prove a solvablity theorem for the extremal problem and obtain conditions that guarantee existence for a singular optimality system and a homeomorphism between the solution set and some finite-dimensional compact set. We study the structure of the solution set of the extremal problem and present the asymptotic expansion of the optimal control.
Received: 06.07.1992
Revised: 04.02.1993
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 5, Pages 972–983
DOI: https://doi.org/10.1007/BF00971410
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. Yu. Chebotarev, “Extremal boundary value problems of the dynamics of a viscous incompressible fluid”, Sibirsk. Mat. Zh., 34:5 (1993), 202–213; Siberian Math. J., 34:5 (1993), 972–983
Citation in format AMSBIB
\Bibitem{Che93}
\by A.~Yu.~Chebotarev
\paper Extremal boundary value problems of the dynamics of a~viscous incompressible fluid
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 5
\pages 202--213
\mathnet{http://mi.mathnet.ru/smj1500}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1255471}
\zmath{https://zbmath.org/?q=an:0814.76074}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 5
\pages 972--983
\crossref{https://doi.org/10.1007/BF00971410}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MG83400016}
Linking options:
  • https://www.mathnet.ru/eng/smj1500
  • https://www.mathnet.ru/eng/smj/v34/i5/p202
    Erratum
    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024