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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 3, Pages 70–80 (Mi smj1653)  

This article is cited in 17 scientific papers (total in 17 papers)

The equation of potential flows of a compressible viscous fluid at small reynolds numbers: Existence, uniqueness, and stabilization of solutions

A. V. Kazhikhov
Abstract: We consider the system of equations for the motion of a compressible fluid at small Reynolds numbers. In the class of potential flows, the system is reduced to a single third order equation for the velocity potential. Existence and uniqueness theorems in various functional spaces are proved for a solution to the original initial-boundary value problem and estimates are given for the stabilization rate at infinite time.
Received: 10.09.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 3, Pages 457–467
DOI: https://doi.org/10.1007/BF00971220
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: A. V. Kazhikhov, “The equation of potential flows of a compressible viscous fluid at small reynolds numbers: Existence, uniqueness, and stabilization of solutions”, Sibirsk. Mat. Zh., 34:3 (1993), 70–80; Siberian Math. J., 34:3 (1993), 457–467
Citation in format AMSBIB
\Bibitem{Kaz93}
\by A.~V.~Kazhikhov
\paper The equation of potential flows of a~compressible viscous fluid at small reynolds numbers: Existence, uniqueness, and stabilization of solutions
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 3
\pages 70--80
\mathnet{http://mi.mathnet.ru/smj1653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1241169}
\zmath{https://zbmath.org/?q=an:0806.76077}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 3
\pages 457--467
\crossref{https://doi.org/10.1007/BF00971220}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LR86400006}
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  • This publication is cited in the following 17 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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