✦ LIBER ✦
Exterior stationary Navier-Stokes flows in 3D with non-zero velocity at infinity: approximation by flows in bounded domains
✍ Scribed by Paul Deuring; Stanislav Kračmar
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 395 KB
- Volume
- 269-270
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
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)