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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 4, Pages 623–632
(Mi zvmmf153)
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This article is cited in 5 scientific papers (total in 5 papers)
Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow
E. V. Amosova Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
Abstract:
The control problem for a one-dimensional flow of a polytropic viscous heat-conducting perfect gas through an interval is considered. The density of external currents is taken as the control. The existence of an optimal control function is proved. Necessary optimality conditions are derived. The compactness of the set of solutions is established.
Key words:
gas flow control, existence theorem, existence theorem for a generalized solution, necessary optimality conditions.
Received: 26.04.2007
Citation:
E. V. Amosova, “Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008), 623–632; Comput. Math. Math. Phys., 48:4 (2008), 590–599
Linking options:
https://www.mathnet.ru/eng/zvmmf153 https://www.mathnet.ru/eng/zvmmf/v48/i4/p623
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Abstract page: | 234 | Full-text PDF : | 98 | References: | 37 | First page: | 2 |
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