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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 11, Pages 2001–2009 (Mi zvmmf4785)  
This article is cited in 3 scientific papers (total in 3 papers)

Control of magnetohydrodynamic flow in the formation of a magnetic field with a prescribed configuration

A. Yu. Chebotarev

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
Full-text PDF (957 kB) Citations (3)
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Abstract: Control problems for the viscous incompressible magnetohydrodynamic equations are considered. The goal is to produce a magnetic field with a prescribed structure at a given time by applying electromotive forces so as to minimize Joule heating or the work done on the conduction currents. Based on estimates obtained for the solution of a subdifferential Cauchy problem for the Navier–Stokes-type equations, the possibility of producing the required magnetic field is proved and the solvability conditions for the control problems are found.
Key words: magnetohydrodynamic equations, optimal control, variational inequalities, controllability problems.
Received: 04.03.2009
Revised: 28.05.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 11, Pages 1913–1920
DOI: https://doi.org/10.1134/S0965542509110086
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. Yu. Chebotarev, “Control of magnetohydrodynamic flow in the formation of a magnetic field with a prescribed configuration”, Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009), 2001–2009; Comput. Math. Math. Phys., 49:11 (2009), 1913–1920
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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