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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 306, Pages 134–164 (Mi znsl853)  
This article is cited in 1 scientific paper (total in 1 paper)

On a steady three-dimensional noncompact free boundary value problem for the Navier–Stokes equations

K. I. Pileckas, L. Zaleskis

Institute of Mathematics and Informatics
Full-text PDF (297 kB) Citations (1)
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Abstract: A steady three-dimensional flow of a viscous incompressible fluid with a noncompact free boundary above a fixed unbounded bottom is studied. It is assumed that the motion of the fluid is generated by sources and sinks situated in a bounded part of the bottom and having zero total flux. The existence for small data of the unique solution to this problem is proved and the asymptotics of the solution is constructed.
Received: 26.10.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 130, Issue 4, Pages 4852–4870
DOI: https://doi.org/10.1007/s10958-005-0381-y
Bibliographic databases:
UDC: 517
Language: English
Citation: K. I. Pileckas, L. Zaleskis, “On a steady three-dimensional noncompact free boundary value problem for the Navier–Stokes equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Zap. Nauchn. Sem. POMI, 306, POMI, St. Petersburg, 2003, 134–164; J. Math. Sci. (N. Y.), 130:4 (2005), 4852–4870
Citation in format AMSBIB
\Bibitem{PilZal03}
\by K.~I.~Pileckas, L.~Zaleskis
\paper On a~steady three-dimensional noncompact free boundary value problem for the Navier--Stokes equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 306
\pages 134--164
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl853}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2065501}
\zmath{https://zbmath.org/?q=an:1148.35357}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 130
\issue 4
\pages 4852--4870
\crossref{https://doi.org/10.1007/s10958-005-0381-y}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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