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Journal of Mathematical Fluid Mechanics

, Volume 9, Issue 2, pp 211–225 | Cite as

The Stationary Oseen Equations in \({\mathbb{R}}^{3}\) . An Approach in Weighted Sobolev Spaces

  • Chérif Amrouche
  • Ulrich Razafison
Article

Abstract.

In this paper we solve the stationary Oseen equations in \({\mathbb{R}}^{3}\) . The behavior of the solutions at infinity is described by setting the problem in weighted Sobolev spaces including anisotropic weights. The study is based on a L p theory for 1 < p < ∞.

Mathematics Subject Classification (2000).

76D05 35Q30 26D15 46D35 

Keywords.

Oseen equations anisotropic weights Sobolev spaces unbounded domains 

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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Appliquées, CNRS UMR 5142Université de Pau et des Pays de l’AdourPauFrance

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