Asymptotics of solutions to the optimal control problem for time-independent Navier–Stokes equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 7, pp. 1061-1070
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2000_40_7_a9,
     author = {A. A. Illarionov},
     title = {Asymptotics of solutions to the optimal control problem for time-independent {Navier{\textendash}Stokes} equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1061--1070},
     year = {2000},
     volume = {40},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_7_a9/}
}
TY  - JOUR
AU  - A. A. Illarionov
TI  - Asymptotics of solutions to the optimal control problem for time-independent Navier–Stokes equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2000
SP  - 1061
EP  - 1070
VL  - 40
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_7_a9/
LA  - ru
ID  - ZVMMF_2000_40_7_a9
ER  - 
%0 Journal Article
%A A. A. Illarionov
%T Asymptotics of solutions to the optimal control problem for time-independent Navier–Stokes equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2000
%P 1061-1070
%V 40
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_7_a9/
%G ru
%F ZVMMF_2000_40_7_a9
A. A. Illarionov. Asymptotics of solutions to the optimal control problem for time-independent Navier–Stokes equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 7, pp. 1061-1070. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_7_a9/

[1] Fursikov A. V., “Svoistva reshenii nekotorykh ekstremalnykh zadach, svyazannykh s sistemoi Nave–Stoksa”, Matem. sb., 118(180):3(7) (1982), 323–349 | MR | Zbl

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

[3] Lions Zh.-L., Upravlenie singulyarnymi raspredelennymi sistemami, Nauka, M., 1987 | MR

[4] Gunzburger M. D., Hou L., Svobodny T. P., “Analysis and finite element approximation of optimal control problems for the Navier–Stokes equations with distributed and Neumann controls”, Math. Comput., 57:195 (1991), 123–151 | DOI | MR | Zbl

[5] Gunzburger M. D., Hou L., Svobodny T. P., “Boundary velocity control of incompressible flow with application to viscous drag reduction”, SIAM J. Control. Optimizat., 30:1 (1992), 167–182 | DOI | MR

[6] Chebotarev A. Yu., “Normalnye resheniya kraevykh zadach dlya statsionarnykh sistem tipa Nave–Stoksa”, Sibirskii matem. zhurnal, 36:5 (1995), 934–942 | MR | Zbl

[7] Alekseev G. V., Tereshko D. A., “Statsionarnye zadachi optimalnogo upravleniya dlya uravnenii gidrodinamiki vyazkoi teploprovodnoi zhidkosti”, Sibirskii zh. industr. matem., 1:2 (1998), 24–44 | MR | Zbl

[8] Conca C., Murat F., Pironneau O., “The Stokes and Navier–Stokes equation with boundary conditions involving the pressure”, Japan. J. Math., 20:2 (1994), 279–318 | MR | Zbl