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On the dimension of the attractors in two-dimensional turbulence |
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| Authors: | P. Constantin C. Foias R. Temam |
| Affiliation: | Department of Mathematics, University of Chicago, Chicago, IL 60637, USA Department of Mathematics, Indiana University, Bloomington, IN 47405, USA Laboratoire d'Analyse Numérique, Université Paris Sud, 91405, Orsay, France |
| Abstract: | Using a new version of the Sobolev-Lieb-Thirring inequality, we derive an upper bound for the dimension of the universal attractor for two-dimensional space periodic Navier-Stokes equations. This estimate is optimal up to a logarithmic correction. The relevance of this estimate to turbulence and related results are also briefly discussed. |
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