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Mathematics of the USSR-Sbornik, 1985, Volume 50, Issue 2, Pages 279–298
DOI: https://doi.org/10.1070/SM1985v050n02ABEH002830 (Mi sm2296) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The existence of statistical solutions of the stochastic system of von Kármán equations in a bounded domain

I. D. Chueshov
English version PDF (988 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM1985v050n02ABEH002830
Abstract: The existence of statistical solutions of the stochastic system of von Kármán equations originating in the nonlinear mechanics of sloping elastic shells is shown. Solutions are obtained as weak limit points of distributions corresponding to Galerkin approximations of the system. Properties of solutions are studied. Methods developed in the framework of statistical hydromechanics are used.
Bibliography: 10 titles.
Received: 15.04.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 122(164), Number 3(11), Pages 291–312
Bibliographic databases:
UDC: 517.946
MSC: Primary 73K15; Secondary 60H15
Language: English
Original paper language: Russian
Citation: I. D. Chueshov, “The existence of statistical solutions of the stochastic system of von Kármán equations in a bounded domain”, Mat. Sb. (N.S.), 122(164):3(11) (1983), 291–312; Math. USSR-Sb., 50:2 (1985), 279–298
Citation in format AMSBIB
\Bibitem{Chu83}
\by I.~D.~Chueshov
\paper The existence of statistical solutions of the stochastic system of von K\'arm\'an equations in a~bounded domain
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 122(164)
\issue 3(11)
\pages 291--312
\mathnet{http://mi.mathnet.ru/sm2296}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=721391}
\zmath{https://zbmath.org/?q=an:0573.73073}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 50
\issue 2
\pages 279--298
\crossref{https://doi.org/10.1070/SM1985v050n02ABEH002830}
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    • This publication is cited in the following 5 articles:
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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