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Virial functionals in fluid dynamics

Vladimirov, V.A. and Ilin, K.I. (2003) Virial functionals in fluid dynamics. Moscow Mathematical Journal, 3 (2). pp. 691-709. ISSN 1609-4514

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The aim of this paper is to show that functionals similar to the ‘virial’ function of classical mechanics can be introduced for several dynamical systems of fluid mechanics provided that those dynamical systems can be described by Hamilton’s principle of least action. The main requirement to ‘virials’ is their increasing by virtue of equations of motion. Applications of those functionals to hydrodynamic stability theory are reviewed and further perspectives are discussed.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 26 Mar 2009 13:55
Last Modified: 26 Mar 2009 13:55
Status: Published
Publisher: Independent University of Moscow
URI: http://eprints.whiterose.ac.uk/id/eprint/7020

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