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Exterior stationary Navier‐Stokes flows in 3D with non‐zero velocity at infinity: approximation by flows in bounded domains
Author(s) -
Deuring Paul,
Kračmar Stanislav
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310167
Subject(s) - bounded function , mathematics , infinity , zero (linguistics) , domain (mathematical analysis) , omega , mathematical analysis , bar (unit) , compressibility , flow (mathematics) , incompressible flow , geometry , physics , mechanics , quantum mechanics , meteorology , philosophy , linguistics
We consider stationary incompressible Navier‐Stokes flows in an exterior domain ℝ 3 \ $ \bar \Omega $ , where Ω ⊂ ℝ 3 is bounded and open. Under the assumption that the velocity at infinity is non‐zero, we present a variational problem in B R \ $ \bar \Omega $ such that a solution of this variational problem approximates the given exterior flow. The error associated with this approximation is estimated in terms of R , among other quantities. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)