A rigorous treatment of 'experimental' observations for the two-dimensional Navier-Stokes equations
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 1364-5021Full text not available from this repository.
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|
|Journal or Publication Title:||PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES|
|Publisher:||ROYAL SOC LONDON|
|Official Date:||8 April 2001|
|Number of Pages:||14|
|Page Range:||pp. 1007-1020|
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