Geodesic
Impulse control of temperature in a free convection model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 616-623

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The problem of impulse control is considered for a three-dimensional model of free convection of a viscous incompressible fluid. It is shown that, under a suitable control of the temperature, no singularities are developed over time in solutions to the Navier-Stokes equations. An optimality system is constructed whose solution is globally regular in time. 
@article{ZVMMF_2009_49_4_a3,
     author = {A. Yu. Chebotarev},
     title = {Impulse control of temperature in a~free convection model},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {616--623},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a3/}
}
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A. Yu. Chebotarev. Impulse control of temperature in a free convection model. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 616-623. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a3/