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Journal of Siberian Federal University. Mathematics & Physics, 2015, Volume 8, Issue 2, Pages 140–147 (Mi jsfu415)  
This article is cited in 4 scientific papers (total in 4 papers)

Unsteady 2D motions a viscous fluid described by partially invariant solutions to the Navier–Stokes equations

Victor K. Andreevab

a Institute of Computational Modelling RAS SB, 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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Abstract: 3D continuous subalgebra is used to searching partially invariant solution of viscous incompressible fluid equations. It can be interpreted as a 2D motion of one or two immiscible fluids in plane channel. The arising initial boundary value problem for factor-system is an inverse one. Unsteady problem for creeping motions is solved by separating of variables method for one fluid or Laplace transformation method for two fluids.
Keywords: partially invariant solution, viscous fluid, free boundary problem, interface.
Received: 10.02.2015
Received in revised form: 03.03.2015
Accepted: 30.03.2015
Document Type: Article
UDC: 532.51
Language: English
Citation: Victor K. Andreev, “Unsteady 2D motions a viscous fluid described by partially invariant solutions to the Navier–Stokes equations”, J. Sib. Fed. Univ. Math. Phys., 8:2 (2015), 140–147
Citation in format AMSBIB
\Bibitem{And15}
\by Victor~K.~Andreev
\paper Unsteady 2D motions a viscous fluid described by partially invariant solutions to the Navier--Stokes equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 2
\pages 140--147
\mathnet{http://mi.mathnet.ru/jsfu415}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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