Geodesic
Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 623-632

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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. 
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     author = {E. V. Amosova},
     title = {Optimal control of a~magnetohydrodynamic viscous heat-conducting gas flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {623--632},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a6/}
}
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E. V. Amosova. Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 623-632. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a6/