Self-similar singularities of the 3D Euler equations
UNSPECIFIED. (2000) Self-similar singularities of the 3D Euler equations. APPLIED MATHEMATICS LETTERS, 13 (5). pp. 41-46. ISSN 0893-9659Full text not available from this repository.
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|
|Number of Pages:||6|
|Page Range:||pp. 41-46|
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