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On a self-similar solution for the decay of turbulent bursts

Published online by Cambridge University Press:  16 July 2009

S. P. Hastings  and
L. A. Peletier
S. P. Hastings
Affiliation:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15205, USA
L. A. Peletier
Affiliation:
Department of Mathematics and Computer Science, Leiden University, Postbus 9512, 2300 RA Leiden, The Netherlands
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Abstract

We discuss the self-similar solutions of the second kind associated with the propagation of turbulent bursts in a fluid at rest. Such solutions involve an eigenvalue parameter μ, which cannot be determined from dimensional analysis. Existence and uniqueness are established and the dependence of μ on a physical parameter λ in the problem is studied: estimates are obtained and the asymptotic behaviour as λ → ∞ is established.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 4 , December 1992 , pp. 319 - 341
Copyright
Copyright © Cambridge University Press 1992

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