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.
Original language | English (US) |
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Pages (from-to) | 284-296 |
Number of pages | 13 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 30 |
Issue number | 3 |
DOIs | |
State | Published - Apr 1988 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics