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Large time behavior of the vorticity of 2D viscous flow and vortex formation in 3D flow

โœ Scribed by Y. Giga; T. Kambe


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
241 KB
Volume
3
Category
Article
ISSN
0169-5983

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Atomic decomposition for the vorticity o
โœ Lorenzo Brandolese ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 225 KB

## Abstract We show that the vorticity of a viscous flow in โ„^3^ admits an atomic decomposition of the form __ฯ‰__(__x, t__) = $ \textstyle \sum ^\infty \_{k = 1} $ __ฯ‰~k~__(__x__ โ€“ __x~k~, t__), with localized and oscillating building blocks __ฯ‰~k~__, if such a property is satisfied at the beginnin