Geodesic
Impulse control of temperature in a free convection model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 616-623 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

[1] Temam R., Uravneniya Nave–Stoksa. Teoriya i chislennyi analiz, Mir, M., 1981 | MR | Zbl

[2] Ukhovskii M. R., Yudovich V. I., “Ob uravneniyakh statsionarnoi konvektsii”, Prikl. matem. i mekhan., 27:2 (1963), 295–300 | MR

[3] Yudovich V. I., “Ob uravneniyakh svobodnoi konvektsii absolyutno teploprovodnoi zhidkosti”, Sibirskii matem. zhurnal, 34:5 (1993), 218–229 | MR | Zbl

[4] Fursikov A. B., “Zadachi upravleniya i teoremy, kasayuschiesya odnoznachnoi razreshimosti smeshannoi kraevoi zadachi dlya trekhmernykh uravnenii Nave–Stoksa i Eilera”, Matem. sb., 115:2 (1981), 281–306 | MR | Zbl

[5] Fursikov A. B., “Svoistva reshenii nekotorykh ekstremalnykh zadach, svyazannykh s sistemoi Nave–Stoksa”, Matem. sb., 118:3 (1982), 323–349 | MR | Zbl

[6] Fursikov A. B., Optimalnoe upravlenie raspredelennymi sistemami. Teoriya i prilozheniya, Nauchn. kniga, Novosibirsk, 1999

[7] Chebotarev A. Yu., “Optimalnoe upravlenie v nestatsionarnykh zadachakh magnitnoi gidrodinamiki”, Sibirskii zhurnal industr. matem., 10:3 (2007), 138–148 | MR

[8] Chebotarev A. Yu., “Printsip maksimuma v zadache granichnogo upravleniya techeniem vyazkoi zhidkosti”, Sibirskii matem. zhurnal, 34:6 (1993), 189–197 | MR | Zbl