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Atomic decomposition for the vorticity of a viscous flow in the whole space

✍ Scribed by Lorenzo Brandolese

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
225 KB
Volume
273
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We show that the vorticity of a viscous flow in ℝ^3^ admits an atomic decomposition of the form Ο‰(x, t) = $ \textstyle \sum ^\infty _{k = 1} $ Ο‰~k~(x – x~k~, t), with localized and oscillating building blocks Ο‰~k~, if such a property is satisfied at the beginning of the evolution. We also study the long time behavior of an isolated coherent structure and the special behavior of flows with highly oscillating vorticities. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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