Geodesic
Optimal control asymptotics of a magnetohydrodynamic flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 3, pp. 482-489

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An optimal multiplicative control problem is considered for a one-dimensional magnetohydrodynamic flow between parallel planes (Hartman flow). The external magnetic field is used as a control function. An optimality system is derived, and the asymptotics of an optimal control with respect to a regularization parameter and the Reynolds number are constructed. 
@article{ZVMMF_2009_49_3_a7,
     author = {V. E. Tsyba and A. Yu. Chebotarev},
     title = {Optimal control asymptotics of a~magnetohydrodynamic flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {482--489},
     publisher = {mathdoc},
     volume = {49},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_3_a7/}
}
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V. E. Tsyba; A. Yu. Chebotarev. Optimal control asymptotics of a magnetohydrodynamic flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 3, pp. 482-489. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_3_a7/