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Self-similar singularities of the 3D Euler equations
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UNSPECIFIED (2000) Self-similar singularities of the 3D Euler equations. APPLIED MATHEMATICS LETTERS, 13 (5). pp. 41-46. ISSN 0893-9659
Full text not available from this repository.Abstract
Self-similar solutions are considered to the incompressible Euler equations in R-3, where the similarity variable is defined as xi = x/(T - t)(beta) is an element of R-3, beta greater than or equal to 0. It is shown that the scaling exponent is bounded above: beta less than or equal to 1. Requiring \\ u \\(L2) < infinity and allowing more than one length scale, it is found beta is an element of [2/5, 1]. This new result on the self-similar singularity is consistent with known analytical results for blow-up conditions. (C) 2000 Elsevier Science Ltd. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | APPLIED MATHEMATICS LETTERS |
| Publisher: | PERGAMON-ELSEVIER SCIENCE LTD |
| ISSN: | 0893-9659 |
| Date: | July 2000 |
| Volume: | 13 |
| Number: | 5 |
| Number of Pages: | 6 |
| Page Range: | pp. 41-46 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/13357 |
Data sourced from Thomson Reuters' Web of Knowledge
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