Exterior stationary Navier‐Stokes flows in 3D with non‐zero velocity at infinity: approximation by flows in bounded domains | Zendy

Deuring Paul | Zendy; Kračmar Stanislav | Zendy

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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)

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