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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
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\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
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\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}
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  • 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
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