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Moscow Mathematical Journal, 2003, Volume 3, Number 2, Pages 691–709
DOI: https://doi.org/10.17323/1609-4514-2003-3-2-691-709 (Mi mmj106) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Virial functionals in fluid dynamics

V. A. Vladimirov, K. I. Ilin

University of Hull
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DOI: https://doi.org/10.17323/1609-4514-2003-3-2-691-709
Abstract: 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.
Key words and phrases: Inviscid fluid, instability, virial.
Received: August 14, 2002
Bibliographic databases:
MSC: Primary 76B99, 76E99; Secondary 76M99
Language: English
Citation: V. A. Vladimirov, K. I. Ilin, “Virial functionals in fluid dynamics”, Mosc. Math. J., 3:2 (2003), 691–709
Citation in format AMSBIB
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\by V.~A.~Vladimirov, K.~I.~Ilin
\paper Virial functionals in fluid dynamics
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 2
\pages 691--709
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\zmath{https://zbmath.org/?q=an:1056.76019}
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    • This publication is cited in the following 2 articles:
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