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Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence

โœ Scribed by Peter Constantin; Boris Levant; Edriss S. Titi


Publisher
Springer
Year
2007
Tongue
English
Weight
331 KB
Volume
127
Category
Article
ISSN
0022-4715

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๐Ÿ“œ SIMILAR VOLUMES


The dimension of the global attractor fo
โœ M. Efendiev; A. Miranville ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 309 KB

Our aim in this note is to construct an exponential attractor of optimal (with respect to the dissipation parameter) fractal dimension for dissipative reaction-diffusion systems without conditions on the growth of the nonlinear term. (~) 2003 Elsevier Science Ltd. All rights reserved.

Lower bounds for the immersion dimension
โœ Markus Walgenbach ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 165 KB

The object of the present work is to express characteristic numbers of a homogeneous space G/U which are related to the immersion dimension of G/U by Lie group invariants of G and U . New concrete nonimmersion theorems for flag manifolds and other homogeneous spaces are proved.