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The three-dimensional Euler equations : singular or non-singular?
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Gibbon, J. D., Bustamante, Miguel D. and Kerr, Robert M. (Robert McDougall) (2008) The three-dimensional Euler equations : singular or non-singular? Nonlinearity, Volume 21 (Number 8). T123-T129. doi:10.1088/0951-7715/21/8/T02 ISSN 0951-7715.
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Official URL: http://dx.doi.org/10.1088/0951-7715/21/8/T02
Abstract
One of the outstanding open questions in modern applied mathematics is whether solutions of the incompressible Euler equations develop a singularity in the vorticity field in a finite time. This paper briefly reviews some of the issues concerning this problem, together with some observations that may suggest that it may be more subtle than first thought.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Library of Congress Subject Headings (LCSH): | Time-series analysis, Symmetry (Physics), Singularities (Mathematics), Mathematical models, Turbulence, Fluid dynamics, Equations of motion | ||||
Journal or Publication Title: | Nonlinearity | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 0951-7715 | ||||
Official Date: | August 2008 | ||||
Dates: |
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Volume: | Volume 21 | ||||
Number: | Number 8 | ||||
Number of Pages: | 7 | ||||
Page Range: | T123-T129 | ||||
DOI: | 10.1088/0951-7715/21/8/T02 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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