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Chaos of the broken torus type in three-dimensional relaxation systems

✍ Scribed by A. Yu. Kolesov; Yu. S. Kolesov; N. Kh. Rozov

Book ID
105545237
Publisher
Springer US
Year
1996
Tongue
English
Weight
733 KB
Volume
80
Category
Article
ISSN
1573-8795

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Stability of Nontrivial Solutions of the
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✍ Piotr BogusΕ‚aw Mucha πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 156 KB

This paper examines the stability of nontrivial regular solutions to the Navier Stokes equations on a three dimensional torus. It is shown that the W 2, 1 r -norm of the perturbation can be controlled if its initial data are small enough in the L 2 -norm. A key element of the proof is to apply the M