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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 2, Pages 24–35
DOI: https://doi.org/10.17377/sibjim.2015.18.203 (Mi sjim879) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Solvability of a boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting fluid

G. V. Alekseevab

a Institute of Applied Mathematics FEB RAS, 7 Radio st., 690041 Vladivostok
b Far Eastern Federal University, 8 Sukhanova st., 690950 Vladivostok
Full-text PDF (653 kB) Citations (2)
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DOI: https://doi.org/10.17377/sibjim.2015.18.203
Abstract: We study a boundary value problem for the stationary equations of magnetohydrodynamics of a viscous heat-conducting fluid considered under the Dirichlet condition for the velocity and mixed boundary conditions for the electromagnetic field and the temperature. Sufficient conditions are established on the initial data that guarantee the global solvability of this problem and the local uniqueness of its solution.
Keywords: magnetohydrodynamics, boundary value problem, mixed boundary conditions, solvability, uniqueness.
Received: 12.02.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 306–316
DOI: https://doi.org/10.1134/S1990478915030023
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Alekseev, “Solvability of a boundary value problem for stationary equations of magnetohydrodynamics of a viscous heat-conducting fluid”, Sib. Zh. Ind. Mat., 18:2 (2015), 24–35; J. Appl. Industr. Math., 9:3 (2015), 306–316
Citation in format AMSBIB
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\by G.~V.~Alekseev
\paper Solvability of a~boundary value problem for stationary equations of magnetohydrodynamics of a~viscous heat-conducting fluid
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 2
\pages 24--35
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\crossref{https://doi.org/10.17377/sibjim.2015.18.203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549825}
\elib{https://elibrary.ru/item.asp?id=23598674}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 3
\pages 306--316
\crossref{https://doi.org/10.1134/S1990478915030023}
Linking options:
  • https://www.mathnet.ru/eng/sjim879
  • https://www.mathnet.ru/eng/sjim/v18/i2/p24
    • This publication is cited in the following 2 articles:
    1. Gennadii Alekseev, Yuliya Spivak, “Stability Estimates of Optimal Solutions for the Steady Magnetohydrodynamics-Boussinesq Equations”, Mathematics, 12:12 (2024), 1912  crossref
    2. K. R. Aida-zade, Y. R. Ashrafova, “Calculation of a state of the system of discrete linear processes connected by nonseparated boundary conditions”, J. Appl. Industr. Math., 10:4 (2016), 457–467  mathnet  crossref  crossref  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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    References:70
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