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A rigorous treatment of 'experimental' observations for the two-dimensional Navier-Stokes equations
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UNSPECIFIED (2001) A rigorous treatment of 'experimental' observations for the two-dimensional Navier-Stokes equations. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 457 (2008). pp. 1007-1020. ISSN 1364-5021.
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Abstract
Within a fully rigorous framework, this paper shows that a finite number of point observations (distributed in both space and time) serve to determine the 'fully developed' flow of a two-dimensional fluid throughout the whole flow domain. With the measurements taken at one fixed time, the results imply that if the flow is resolved on a sufficiently small scale, then its dynamics are entirely determined. Applied to 'experimental' observations taken randomly from a small neighbourhood of one point in space, but at staggered times, they imply a version of Takens' time delay embedding theorem.
Item Type: | Journal Article | ||||
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Subjects: | Q Science | ||||
Journal or Publication Title: | PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | ||||
Publisher: | ROYAL SOC LONDON | ||||
ISSN: | 1364-5021 | ||||
Official Date: | 8 April 2001 | ||||
Dates: |
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Volume: | 457 | ||||
Number: | 2008 | ||||
Number of Pages: | 14 | ||||
Page Range: | pp. 1007-1020 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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