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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1621–1629
DOI: https://doi.org/10.33048/semi.2018.15.134 (Mi semr1023) 		 
Differentical equations, dynamical systems and optimal control

The classical solution of one overdetermined stationary system arising in two-velocity hydrodynamics

M. V. Urevabc, Sh. Kh. Imomnazarova

a ICM&MG SB RAS, 6, pr. Lavrent’eva, Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
c Siberian Institute of management-the branch of Ranepa, 6, Nizegorodskaya str., Novosibirsk, 630102, Russia
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DOI: https://doi.org/10.33048/semi.2018.15.134
Abstract: The classical solution of an overdetermined stationary system of second order equations arising in a two-fluid medium is considered. Using the theory of potential and the Green's function for a given system, the existence of the classical solution in the case of specifying the Dirichlet boundary conditions is shown. The influence of the kinetic parameters of the medium on the solution of the system in question has been shown.
Keywords: Two- velocity hydrodynamics, viscous liquid, fundamental solution, potential of double layer, Green's function, the classical solution.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41002_Узб_т
Received January 31, 2018, published December 14, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.946
MSC: 35A05
Language: Russian
Citation: M. V. Urev, Sh. Kh. Imomnazarov, “The classical solution of one overdetermined stationary system arising in two-velocity hydrodynamics”, Sib. Èlektron. Mat. Izv., 15 (2018), 1621–1629
Citation in format AMSBIB
\Bibitem{UreImo18}
\by M.~V.~Urev, Sh.~Kh.~Imomnazarov
\paper The classical solution of one overdetermined stationary system arising in two-velocity hydrodynamics
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1621--1629
\mathnet{http://mi.mathnet.ru/semr1023}
\crossref{https://doi.org/10.33048/semi.2018.15.134}
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