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 6, Pages 189–197 (Mi smj823)  
This article is cited in 7 scientific papers (total in 7 papers)

Maximum principle in the boundary control problem for flow of a viscous fluid

A. Yu. Chebotarev
Full-text PDF (729 kB) Citations (7)
Abstract: We consider the control problem for the evolutionary Navier–Stokes equations. The main result is the justification of necessary extremum conditions in the form of Pontryagin's maximum principle. For two-dimensional flows, the conditions mentioned are obtained without additional assumptions such as smallness or regularity of optimal flows. A particular feature is the treating of nonsmooth boundary controls.
Received: 17.12.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 6, Pages 1171–1179
DOI: https://doi.org/10.1007/BF00973482
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. Yu. Chebotarev, “Maximum principle in the boundary control problem for flow of a viscous fluid”, Sibirsk. Mat. Zh., 34:6 (1993), 189–197; Siberian Math. J., 34:6 (1993), 1171–1179
Citation in format AMSBIB
\Bibitem{Che93}
\by A.~Yu.~Chebotarev
\paper Maximum principle in the boundary control problem for flow of a~viscous fluid
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 6
\pages 189--197
\mathnet{http://mi.mathnet.ru/smj823}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268171}
\zmath{https://zbmath.org/?q=an:0808.76079}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 6
\pages 1171--1179
\crossref{https://doi.org/10.1007/BF00973482}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MQ34600020}
Linking options:
  • https://www.mathnet.ru/eng/smj823
  • https://www.mathnet.ru/eng/smj/v34/i6/p189
    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