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The stationary three-dimensional Navier–Stokes equations with a non-zero constant velocity at infinity

✍ Scribed by Chérif Amrouche; Huy Hoang Nguyen

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 238 KB
Volume: 31
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1020

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✦ Synopsis

Abstract

This paper is devoted to some mathematical questions related to the three‐dimensional stationary Navier–Stokes equations. Our approach is based on a combination of properties of Oseen problems in ℝ^3^. Copyright © 2008 John Wiley & Sons, Ltd.

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

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## 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