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Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 2, Pages 381–405
DOI: https://doi.org/10.1070/IM1988v031n02ABEH001081 (Mi im1331) 		 
This article is cited in 54 scientific papers (total in 54 papers)

On the transient motion of an isolated volume of viscous incompressible fluid

V. A. Solonnikov
English version PDF (1047 kB) Citations (54)
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DOI: https://doi.org/10.1070/IM1988v031n02ABEH001081
Abstract: Solvability locally in time is proved for a free-boundary problem describing the evolution of a finite mass of viscous incompressible fluid in $\mathbf R^n$, $n=2,3$, without taking surface tension into account. Sufficient conditions for the extension of a solution to the infinite time interval $t>0$ are given. A solution is obtained in the space $W_p^{2,1}$ with $p>n$.
Bibliography: 19 titles.
Received: 27.06.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1987, Volume 51, Issue 5, Pages 1065–1087
Bibliographic databases:
UDC: 517.944.4
MSC: 35Q10, 76D05
Language: English
Original paper language: Russian
Citation: V. A. Solonnikov, “On the transient motion of an isolated volume of viscous incompressible fluid”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987), 1065–1087; Math. USSR-Izv., 31:2 (1988), 381–405
Citation in format AMSBIB
\Bibitem{Sol87}
\by V.~A.~Solonnikov
\paper On~the transient motion of an isolated volume of viscous incompressible fluid
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1987
\vol 51
\issue 5
\pages 1065--1087
\mathnet{http://mi.mathnet.ru/im1331}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=925094}
\zmath{https://zbmath.org/?q=an:0850.76180}
\transl
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 2
\pages 381--405
\crossref{https://doi.org/10.1070/IM1988v031n02ABEH001081}
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    • This publication is cited in the following 54 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:468
    Russian version PDF:126
    English version PDF:26
    References:53
    First page:1
     
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