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KAM theory and the 3D Euler equation

โœ Scribed by Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel


Book ID
126813731
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
493 KB
Volume
267
Category
Article
ISSN
0001-8708

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Self-similar solutions are considered to the incompressible Euler equations in R 3, where the similarity variable is defined as ~ = x/(T -t) f~ E R a, ~ \_ 0. It is shown that the scaling exponent is bounded above: 3 \_< 1. Requiring [[ui[ยฃu < oa and allowing more than one length scale, it is found/