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A weightedLq-approach to Stokes flow around a rotating body

✍ Scribed by Reinhard Farwig; Miroslav Krbec; Šárka Nečasová

Book ID
107392613
Publisher
Springer-Verlag
Year
2008
Tongue
German
Weight
297 KB
Volume
54
Category
Article
ISSN
0430-3202

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A weighted Lq-approach to Oseen flow aro
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✍ R. Farwig; M. Krbec; Š. Nečasová 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB

## Abstract We study time‐periodic Oseen flows past a rotating body in ℝ^3^ proving weighted __a priori__ estimates in __L__^__q__^‐spaces using Muckenhoupt weights. After a time‐dependent change of coordinates the problem is reduced to a stationary Oseen equation with the additional terms (ω ∧ __x

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We consider the motion of a fluid in the exterior of a rotating obstacle. This leads to a modified version of the Stokes system which we consider in the whole space R n , n = 2 or n = 3 and in an exterior domain D ⊂ R 3 . For every q ∈ (1, ∞) we prove existence of solutions and estimates in function