Geodesic
Optimal rigid control problem for one-dimensional MHD flow
Dalʹnevostočnyj matematičeskij žurnal, Tome 9 (2009) no. 1, pp. 194-203

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An optimal rigid control problem for one-dimensional magneto hydrodynamic flow between parallel planes is considered. We use the external electromotive forces as a control function and minimize the functional corresponded with their work. An existence and uniqueness theorem is proved and optimal system is derived. 
@article{DVMG_2009_9_1_a18,
     author = {V. E. Tsyba},
     title = {Optimal rigid control problem for one-dimensional {MHD} flow},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {194--203},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2009_9_1_a18/}
}
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V. E. Tsyba. Optimal rigid control problem for one-dimensional MHD flow. Dalʹnevostočnyj matematičeskij žurnal, Tome 9 (2009) no. 1, pp. 194-203. http://geodesic.mathdoc.fr/item/DVMG_2009_9_1_a18/