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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 8, Pages 1441–1454
DOI: https://doi.org/10.7868/S0044466916080020 (Mi zvmmf10436) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid

G. V. Alekseevab

a Institute of Applied Mathematics, Far East Branch of the Russian Academy of Sciences, Vladivostok, Russia
b Far East Federal University, Vladivostok, Russia
Full-text PDF (316 kB) Citations (13)
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DOI: https://doi.org/10.7868/S0044466916080020
Abstract: The inhomogeneous boundary value problem for the steady-state magnetohydrodynamic equations of viscous incompressible fluid under the Dirichlet conditions for the velocity and mixed boundary conditions for the electromagnetic field is considered. Sufficient conditions for the data that ensure the global solvability of this problem and the local uniqueness of its solution are found.
Key words: magnetohydrodynamics, viscous fluid, inhomogeneous boundary value problem, mixed boundary conditions, solvability, uniqueness.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Russian Foundation for Basic Research 13-01-00313_а
Received: 01.07.2015
Revised: 15.12.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 8, Pages 1426–1439
DOI: https://doi.org/10.1134/S0965542516080029
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: G. V. Alekseev, “Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016), 1441–1454; Comput. Math. Math. Phys., 56:8 (2016), 1426–1439
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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