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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 15 January 2001 | ||||
Dates: |
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Volume: | 148 | ||||
Number: | 3-4 | ||||
Number of Pages: | 20 | ||||
Page Range: | pp. 201-220 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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