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Journal of Siberian Federal University. Mathematics & Physics, 2015, Volume 8, Issue 3, Pages 320–326
DOI: https://doi.org/10.17516/1997-1397-2015-8-3-320-326 (Mi jsfu434) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A hydrostatic model for an ideal fluid: group properties of equations and their solutions

Alexander A. Rodionovab

a Institute of Computational Modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2015-8-3-320-326
Abstract: Group properties of hydrostatic model equations of a layer motion in an ideal fluid on a function defining the free surface and the thickness of the fluid layer under the free boundary are studied. Examples of several exact solutions in Cartesian and cylindrical coordinates are given, they determine the free surface and the pressure on it.
Keywords: ideal fluid, hydrostatic model, group analysis, exact solutions.
Received: 07.01.2015
Received in revised form: 24.02.2015
Accepted: 27.05.2015
Document Type: Article
UDC: 517.95+532
Language: English
Citation: Alexander A. Rodionov, “A hydrostatic model for an ideal fluid: group properties of equations and their solutions”, J. Sib. Fed. Univ. Math. Phys., 8:3 (2015), 320–326
Citation in format AMSBIB
\Bibitem{Rod15}
\by Alexander~A.~Rodionov
\paper A hydrostatic model for an ideal fluid: group properties of equations and their solutions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 3
\pages 320--326
\mathnet{http://mi.mathnet.ru/jsfu434}
\crossref{https://doi.org/10.17516/1997-1397-2015-8-3-320-326}
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    • This publication is cited in the following 1 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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