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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 3, Pages 482–489 (Mi zvmmf24)  
This article is cited in 7 scientific papers (total in 7 papers)

Optimal control asymptotics of a magnetohydrodynamic flow

V. E. Tsybaa, A. Yu. Chebotarevb

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
Full-text PDF (810 kB) Citations (7)
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Abstract: An optimal multiplicative control problem is considered for a one-dimensional magnetohydrodynamic flow between parallel planes (Hartman flow). The external magnetic field is used as a control function. An optimality system is derived, and the asymptotics of an optimal control with respect to a regularization parameter and the Reynolds number are constructed.
Key words: magnetohydrodynamic equation, optimal control, control asymptotics.
Received: 27.06.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 3, Pages 466–473
DOI: https://doi.org/10.1134/S0965542509030087
Bibliographic databases:
Document Type: Article
UDC: 517.626
Language: Russian
Citation: V. E. Tsyba, A. Yu. Chebotarev, “Optimal control asymptotics of a magnetohydrodynamic flow”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 482–489; Comput. Math. Math. Phys., 49:3 (2009), 466–473
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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