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2011 On the Stationary Oseen Equations in $\mathbb R^3$
Chérif Amrouche, Luisa Consiglieri
Commun. Math. Anal. 10(1): 5-29 (2011).

Abstract

The stationary Oseen equations are studied in $\mathbb R^3$ in its general form, that is, with a non-constant divergenceless function on the convective term. We prove existence, uniqueness and regularity results in weighted Sobolev spaces. From this new approach, we also state existence, uniqueness and regularity results for the generalized Oseen model which describes the rotating flows. The proofs are based on Laplace, Stokes and Oseen theories.

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Chérif Amrouche. Luisa Consiglieri. "On the Stationary Oseen Equations in $\mathbb R^3$." Commun. Math. Anal. 10 (1) 5 - 29, 2011.

Information

Published: 2011
First available in Project Euclid: 19 May 2011

zbMATH: 1235.35216
MathSciNet: MR2825951

Subjects:
Primary: 35D05,
Secondary: 35D10, 35J45, 76D07

Rights: Copyright © 2011 Mathematical Research Publishers

JOURNAL ARTICLE
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Vol.10 • No. 1 • 2011
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