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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), 1954-. (2008) The three-dimensional Euler equations : singular or non-singular? Nonlinearity, Volume 21 (Number 8). T123-T129. 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Engineering Faculty of Science > Mathematics |
| 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 |
| Date: | August 2008 |
| Volume: | Volume 21 |
| Number: | Number 8 |
| Number of Pages: | 7 |
| Page Range: | T123-T129 |
| Identification Number: | 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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| URI: | http://wrap.warwick.ac.uk/id/eprint/29706 |
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