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Thorough analysis of the Oseen system in 2D exterior domains

✍ Scribed by Paweł Konieczny

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
282 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We construct L~p~‐estimates for the inhomogeneous Oseen system studied in a two‐dimensional exterior domain Ω with inhomogeneous slip boundary conditions. The kernel of the paper is a result for the half space ℝ. Analysis of this model system shows us a parabolic character of the studied problem, resulting as an appearance of the wake region behind the obstacle. Main tools are given by the Fourier analysis to obtain the maximal regularity estimates. The results imply the solvability for the Navier–Stokes system for small velocity at infinity. Copyright © 2009 John Wiley & Sons, Ltd.

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