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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 1, Pages 153–160 (Mi smj1829)  
This article is cited in 3 scientific papers (total in 3 papers)

Equivalence transformations of the Clebsch equations

E. V. Mamontov

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (260 kB) Citations (3)
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Abstract: We consider the Clebsch equations describing the motion of an ideal incompressible fluid in the absence of mass forces. These equations contain an arbitrary element, namely a function of three variables. We find the equivalence transformations of the variables which act on the arbitrary element and preserve the structure of the equations. The equivalence transformation is pointed out that takes the arbitrary element to zero. Some examples are given.
Keywords: ideal incompressible fluid, Clebsch equations, arbitrary element, equivalence transformation.
Received: 25.10.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 1, Pages 123–129
DOI: https://doi.org/10.1007/s11202-008-0012-1
Bibliographic databases:
UDC: 533+517.958
Language: Russian
Citation: E. V. Mamontov, “Equivalence transformations of the Clebsch equations”, Sibirsk. Mat. Zh., 49:1 (2008), 153–160; Siberian Math. J., 49:1 (2008), 123–129
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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