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Mathematics of the USSR-Sbornik, 1983, Volume 46, Issue 3, Pages 323–351
DOI: https://doi.org/10.1070/SM1983v046n03ABEH002796 (Mi sm2255) 		 
This article is cited in 58 scientific papers (total in 58 papers)

Properties of solutions of some extremal problems connected with the Navier–Stokes system

A. V. Fursikov
English version PDF (1777 kB) Citations (58) Russian version article
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DOI: https://doi.org/10.1070/SM1983v046n03ABEH002796
Abstract: Properties of solutions of some control problems for a system described by the Navier–Stokes equations are studied with no restrictions on the control parameter. Necessary and sufficient conditions for an extremum are obtained, and the uniqueness and smoothness of solutions of control problems are investigated. The corresponding Euler–Lagrange equations are studied.
Bibliography: 15 titles.
Received: 30.07.1981
Bibliographic databases:
UDC: 517.946
MSC: 35Q10, 76D05, 49A22, 49B22
Language: English
Original paper language: Russian
Citation: A. V. Fursikov, “Properties of solutions of some extremal problems connected with the Navier–Stokes system”, Math. USSR-Sb., 46:3 (1983), 323–351
Citation in format AMSBIB
\Bibitem{Fur82}
\by A.~V.~Fursikov
\paper Properties of solutions of some extremal problems connected with the Navier--Stokes system
\jour Math. USSR-Sb.
\yr 1983
\vol 46
\issue 3
\pages 323--351
\mathnet{http://mi.mathnet.ru//eng/sm2255}
\crossref{https://doi.org/10.1070/SM1983v046n03ABEH002796}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=663147}
\zmath{https://zbmath.org/?q=an:0538.49010|0512.49017}
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    • This publication is cited in the following 58 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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