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A finite number of point observations which determine a non-autonomous fluid flow
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UNSPECIFIED (2001) A finite number of point observations which determine a non-autonomous fluid flow. NONLINEARITY, 14 (4). pp. 673-682.
Research output not available from this repository, contact author.Abstract
We show that a finite number of point observations serve to determine the flow field throughout the entire domain for certain two-dimensional (2D) flows. In particular, we consider the 2D Navier-Stokes equations with periodic boundary conditions and a time-dependent forcing which is analytic in space. Using the theory of non-autonomous attractors developed by Chepyzhov and Vishik, and the theory of point observations developed by Friz and Robinson, we show that almost every choice of a sufficient number of 'nodes' in the domain gives an evaluation map u vertical bar --> (u(x(1)),..., u(x(k))) which is one-to-one between the attractor and its image.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Journal or Publication Title: | NONLINEARITY | ||||
| Publisher: | IOP PUBLISHING LTD | ||||
| ISSN: | 0951-7715 | ||||
| Official Date: | July 2001 | ||||
| Dates: |
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| Volume: | 14 | ||||
| Number: | 4 | ||||
| Number of Pages: | 10 | ||||
| Page Range: | pp. 673-682 | ||||
| Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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