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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 10, Pages 1796–1811 (Mi zvmmf4770)  
This article is cited in 2 scientific papers (total in 2 papers)

Identification problem for a stationary magnetohydrodynamic model of a viscous heat-conducting fluid

G. V. Alekseev, D. A. Tereshko

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
Full-text PDF (2038 kB) Citations (2)
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Abstract: An identification problem for the stationary magnetohydrodynamic (MHD) equations governing a viscous heat-conducting fluid with inhomogeneous boundary conditions for the velocity, electromagnetic field, and temperature is stated and analyzed. The solvability of the problem is proved, an optimality system is derived, and sufficient conditions on the initial data are established that ensure the uniqueness and stability of the solution.
Key words: MHD equations, viscous heat-conducting fluid, boundary value problem, identification problem, optimality system, uniqueness, stability.
Received: 16.12.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 10, Pages 1717–1732
DOI: https://doi.org/10.1134/S0965542509100078
Bibliographic databases:
Document Type: Article
UDC: 519.628
Language: Russian
Citation: G. V. Alekseev, D. A. Tereshko, “Identification problem for a stationary magnetohydrodynamic model of a viscous heat-conducting fluid”, Zh. Vychisl. Mat. Mat. Fiz., 49:10 (2009), 1796–1811; Comput. Math. Math. Phys., 49:10 (2009), 1717–1732
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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    Full-text PDF :128
    References:69
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