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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.95+532.51

Received: 15.12.2008


 English version:
Journal of Mathematical Sciences (New York), 2009, 159:4, 411–419

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