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Mathematics of the USSR-Sbornik, 1982, Volume 43, Issue 2, Pages 251–273
DOI: https://doi.org/10.1070/SM1982v043n02ABEH002447
(Mi sm2385)
 

This article is cited in 78 scientific papers (total in 78 papers)

Control problems and theorems concerning the unique solvability of a mixed boundary value problem for the three-dimensional Navier–Stokes and Euler equations

A. V. Fursikov
References:
Abstract: In this paper, theorems on the existence of smooth solutions of certain control problems describable by the Navier–Stokes and Euler equations are proved. It is shown that a mixed boundary value problem for the Navier–Stokes and Euler equations of dimension $n\geqslant3$ is uniquely solvable for a dense set of right-hand sides.
Bibliography: 13 titles.
Received: 13.06.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1981, Volume 115(157), Number 2(6), Pages 281–306
Bibliographic databases:
UDC: 517.946
MSC: Primary 35B37, 35G30; Secondary 35Q10
Language: English
Original paper language: Russian
Citation: A. V. Fursikov, “Control problems and theorems concerning the unique solvability of a mixed boundary value problem for the three-dimensional Navier–Stokes and Euler equations”, Mat. Sb. (N.S.), 115(157):2(6) (1981), 281–306; Math. USSR-Sb., 43:2 (1982), 251–273
Citation in format AMSBIB
\Bibitem{Fur81}
\by A.~V.~Fursikov
\paper Control problems and theorems concerning the unique solvability of a~mixed boundary value problem for the three-dimensional Navier--Stokes and Euler equations
\jour Mat. Sb. (N.S.)
\yr 1981
\vol 115(157)
\issue 2(6)
\pages 281--306
\mathnet{http://mi.mathnet.ru/sm2385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=622148}
\zmath{https://zbmath.org/?q=an:0491.49006|0478.49010}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 43
\issue 2
\pages 251--273
\crossref{https://doi.org/10.1070/SM1982v043n02ABEH002447}
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  • https://doi.org/10.1070/SM1982v043n02ABEH002447
  • https://www.mathnet.ru/eng/sm/v157/i2/p281
  • This publication is cited in the following 78 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:895
    Russian version PDF:313
    English version PDF:21
    References:89
    First page:1
     
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