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Sibirskii Zhurnal Industrial'noi Matematiki, 2023, Volume 26, Number 4, Pages 77–92
DOI: https://doi.org/10.33048/SIBJIM.2023.26.406 (Mi sjim1262) 		 
Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. I. Statement of the main problem. Solvability of an auxiliary problem

A. E. Mamontovab, D. A. Prokudinc

a Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b Siberian State University of Telecommunications and Information Science, Novosibirsk, 630102 Russia
c Novosibirsk State University, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.33048/SIBJIM.2023.26.406
Abstract: The problem of steady barotropic motion of a multicomponent medium consisting of viscous compressible fluids in a bounded domain of three-dimensional space is formulated. The viscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized (approximate) problem is proved.
Keywords: existence theorem, steady barotropic flow, viscous compressible multifluid, viscosity matrix.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-282
Received: 30.08.2022
Revised: 18.09.2023
Accepted: 01.11.2023
English version:
Journal of Applied and Industrial Mathematics, 2023, Volume 17, Issue 4, Pages 802–814
DOI: https://doi.org/10.1134/S1990478923040105
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. E. Mamontov, D. A. Prokudin, “Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. I. Statement of the main problem. Solvability of an auxiliary problem”, Sib. Zh. Ind. Mat., 26:4 (2023), 77–92; J. Appl. Industr. Math., 17:4 (2023), 802–814
Citation in format AMSBIB
\Bibitem{MamPro23}
\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. I. Statement of the main problem. Solvability of an auxiliary problem
\jour Sib. Zh. Ind. Mat.
\yr 2023
\vol 26
\issue 4
\pages 77--92
\mathnet{http://mi.mathnet.ru/sjim1262}
\crossref{https://doi.org/10.33048/SIBJIM.2023.26.406}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 4
\pages 802--814
\crossref{https://doi.org/10.1134/S1990478923040105}
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