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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2005, Volume 82, Issue 9, Pages 647–651 (Mi jetpl1607)  
This article is cited in 5 scientific papers (total in 5 papers)

PLASMA, GASES

Formal stability of three-dimensional flows of an ideal conducting fluid

V. I. Il'gisonis, I. V. Khalzov

Russian Research Centre "Kurchatov Institute", Moscow
Full-text PDF (159 kB) Citations (5)
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Abstract: The linearized dynamics of an ideal fluid is shown to have an infinite set of invariants different from the usual Casimir invariants. The procedure of their construction is described. The inclusion of one or several such invariants makes it possible to obtain a sufficient condition for the stability of flows of the fluid in the framework of usual or magnetic hydrodynamics. The condition appears to be softer (closer to a necessary condition) than the previously known conditions.
Received: 26.09.2005
English version:
Journal of Experimental and Theoretical Physics Letters, 2005, Volume 82, Issue 9, Pages 570–574
DOI: https://doi.org/10.1134/1.2161283
Bibliographic databases:
Document Type: Article
PACS: 46.15.Cc, 52.30.Cv
Language: Russian
Citation: V. I. Il'gisonis, I. V. Khalzov, “Formal stability of three-dimensional flows of an ideal conducting fluid”, Pis'ma v Zh. Èksper. Teoret. Fiz., 82:9 (2005), 647–651; JETP Letters, 82:9 (2005), 570–574
Citation in format AMSBIB
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\jour JETP Letters
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\vol 82
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\pages 570--574
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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