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Lp-Weighted Theory for Navier-Stokes Equations in Exterior Domains

Commun. Math. Anal.
Volume 8, Number 1 (2010), 41 - 69

Lp-Weighted Theory for Navier-Stokes Equations in Exterior Domains

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Abstract

This paper is devoted to some mathematical questions related to the stationary Navier-Stokes problem in three-dimensional exterior domains. Our approach is based on a combination of properties of Oseen problems in $\mathbb{R}^3$ and in exterior domains of $\mathbb{R}^3$.