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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
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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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\paper Solvability of a~boundary value problem for stationary equations of magnetohydrodynamics of a~viscous heat-conducting fluid
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\jour J. Appl. Industr. Math.
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