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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 3, Pages 342–350
DOI: https://doi.org/10.17516/1997-1397-2019-12-3-342-350 (Mi jsfu766) 		 
Group analysis of equations of hydrostatic model of viscous fluid

Alexander A. Rodionova, Daria A. Krasnovab

a Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, 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/10.17516/1997-1397-2019-12-3-342-350
Abstract: The group properties of three-dimensional equations of hydrostatic model of viscous fluid are studied. Several exact solutions are presented. The free surface of fluid and pressure on this surface are determined.
Keywords: viscous fluid, hydrostatic model, group analysis, exact solution.
Received: 24.01.2019
Received in revised form: 10.02.2019
Accepted: 20.02.2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Alexander A. Rodionov, Daria A. Krasnova, “Group analysis of equations of hydrostatic model of viscous fluid”, J. Sib. Fed. Univ. Math. Phys., 12:3 (2019), 342–350
Citation in format AMSBIB
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\by Alexander~A.~Rodionov, Daria~A.~Krasnova
\paper Group analysis of equations of hydrostatic model of viscous fluid
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 3
\pages 342--350
\mathnet{http://mi.mathnet.ru/jsfu766}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-3-342-350}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000471028500009}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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