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Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values
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UNSPECIFIED (2001) Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values. PHYSICA D, 148 (3-4). pp. 201-220. ISSN 0167-2789
Full text not available from this repository.Abstract
We consider the solutions lying on the global attractor of the two-dimensional Navier-Stokes equations with periodic boundary conditions and analytic forcing. We show that in this case the value of a solution at a finite number of nodes determines elements of the attractor uniquely, proving a conjecture due to Foias and Temam. Our results also hold for the complex Ginzburg-Landau equation, the Kuramoto-Sivashinsky equation, and reaction-diffusion equations with analytic nonlinearities. (C) 2001 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Journal or Publication Title: | PHYSICA D |
| Publisher: | ELSEVIER SCIENCE BV |
| ISSN: | 0167-2789 |
| Date: | 15 January 2001 |
| Volume: | 148 |
| Number: | 3-4 |
| Number of Pages: | 20 |
| Page Range: | pp. 201-220 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/12526 |
Data sourced from Thomson Reuters' Web of Knowledge
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