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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 362, Pages 48–63 (Mi znsl2192)  
Boundary layer equations in the problem of axially symmetric jet flow

V. S. Belonosova, V. V. Pukhnachovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b M. A. Lavrent'ev Institute of Hydrodynamics
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Abstract: The problem of stationary axially symmetric jet flow of viscous incompressible fluid from a round tube into the free space is considered. Mathematical model of this flow in the Mises variables and for large Reynolds numbers is reduced to the boundary valued problem for degenerative integro-differential equation of the second order. Existence and uniqueness of the bounded solutions to this problem are proved and stabilization as a time-like variable increases is shown. Bibl. – 7 titles.
Received: 15.12.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 159, Issue 4, Pages 411–419
DOI: https://doi.org/10.1007/s10958-009-9453-8
Bibliographic databases:
UDC: 517.95+532.51
Language: Russian
Citation: V. S. Belonosov, V. V. Pukhnachov, “Boundary layer equations in the problem of axially symmetric jet flow”, Boundary-value problems of mathematical physics and related problems of function theory. Part 39, Zap. Nauchn. Sem. POMI, 362, POMI, St. Petersburg, 2008, 48–63; J. Math. Sci. (N. Y.), 159:4 (2009), 411–419
Citation in format AMSBIB
\Bibitem{BelPuk08}
\by V.~S.~Belonosov, V.~V.~Pukhnachov
\paper Boundary layer equations in the problem of axially symmetric jet flow
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 362
\pages 48--63
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2192}
\zmath{https://zbmath.org/?q=an:05633093}
\elib{https://elibrary.ru/item.asp?id=13759337}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 159
\issue 4
\pages 411--419
\crossref{https://doi.org/10.1007/s10958-009-9453-8}
\elib{https://elibrary.ru/item.asp?id=13606310}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349282982}
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