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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 4, Pages 54–63
DOI: https://doi.org/10.33048/SIBJIM.2021.24.404 (Mi sjim1151) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Solution of one overdetermined stationary Stokes-type system in the half-space

Kh. Kh. Imomnazarova, Sh. Kh. Imomnazarovab, M. V. Ureva, R. Kh. Baxromovc

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentyeva 6, Novosibirsk 630090, Russia
b Sobolev Institute of Geology and Mineralogy SB RAS, pr. Acad. Koptyuga 3, Novosibirsk 630090, Russia
c Mirzo Ulugbek National University of Uzbekistan, Vuzgorodok, Tashkent 100174, Uzbekistan
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.404
Abstract: We have considered the classical solution in the half-space of the second boundary value problem for the overdetermined stationary system of the Stokes type, arising in a two-fluid medium with one pressure. The solution using the Fourier transform in horizontal variables is obtained. The effect of the kinetic parameters of the medium on the solution of the system has been shown.
Keywords: two-fluid media, incompressible fluid, overdetermined system, Poisson equation, inhomogeneous problem, Fourier transform, classical solution.
Funding agency Grant number
Russian Foundation for Basic Research 21-51-15002
The authors were supported by the Russian Foundation for Basic Research and the French National Centre for Scientific Research (project no. 21-51-15002).
Received: 25.02.2021
Revised: 09.08.2021
Accepted: 21.10.2021
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 4, Pages 609–615
DOI: https://doi.org/10.1134/S1990478921040049
Document Type: Article
UDC: 517.946
Language: Russian
Citation: Kh. Kh. Imomnazarov, Sh. Kh. Imomnazarov, M. V. Urev, R. Kh. Baxromov, “Solution of one overdetermined stationary Stokes-type system in the half-space”, Sib. Zh. Ind. Mat., 24:4 (2021), 54–63; J. Appl. Industr. Math., 15:4 (2021), 609–615
Citation in format AMSBIB
\Bibitem{ImoImoUre21}
\by Kh.~Kh.~Imomnazarov, Sh.~Kh.~Imomnazarov, M.~V.~Urev, R.~Kh.~Baxromov
\paper Solution of one overdetermined stationary Stokes-type system in the half-space
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 4
\pages 54--63
\mathnet{http://mi.mathnet.ru/sjim1151}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.404}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 4
\pages 609--615
\crossref{https://doi.org/10.1134/S1990478921040049}
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