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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 115, Pages 228–235 (Mi znsl4054)  
Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a viscous fluid with free separation boundaries

V. Ya. Rivkind
Full-text PDF (387 kB)
Abstract: One considers problems with free separation boundaries for flows of a viscous incompressible fluid, described by a complete system of Navier–Stokes equations. One presents a scheme for the construction of approximate methods, giving the possibility to obtain the foundation of energy-type estimates. These schemes are constructed on the basis of a priori estimates, obtained previously at the proof of existence and uniqueness theorems.
English version:
Journal of Soviet Mathematics, 1985, Volume 28, Issue 5, Pages 777–782
DOI: https://doi.org/10.1007/BF02112343
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. Ya. Rivkind, “Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a viscous fluid with free separation boundaries”, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Zap. Nauchn. Sem. LOMI, 115, "Nauka", Leningrad. Otdel., Leningrad, 1982, 228–235; J. Soviet Math., 28:5 (1985), 777–782
Citation in format AMSBIB
\Bibitem{Riv82}
\by V.~Ya.~Rivkind
\paper Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a~viscous fluid with free separation boundaries
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~14
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 115
\pages 228--235
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=660085}
\zmath{https://zbmath.org/?q=an:0518.76033}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 28
\issue 5
\pages 777--782
\crossref{https://doi.org/10.1007/BF02112343}
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