Geodesic
Control problems for the MGD model of viscous heat-conducting fluid under mixed boundary conditions
Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 2, pp. 226-238

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The control problems for the stationary equations of magnetic hydrodynamics of viscous heat-conducting fluid under mixed boundary conditions for velocity and electric and magnetic fields are considered. The regularity of Lagrange multipliers for the considered control problems is proved. The sufficient conditions of uniqueness of solutions of control problem for specific coast functional are obtained. 
@article{DVMG_2004_5_2_a7,
     author = {R. V. Brizitskii},
     title = {Control problems for the {MGD} model of viscous heat-conducting fluid under mixed boundary conditions},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {226--238},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2004_5_2_a7/}
}
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R. V. Brizitskii. Control problems for the MGD model of viscous heat-conducting fluid under mixed boundary conditions. Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 2, pp. 226-238. http://geodesic.mathdoc.fr/item/DVMG_2004_5_2_a7/