Geodesic
Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 623-632 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The control problem for a one-dimensional flow of a polytropic viscous heat-conducting perfect gas through an interval is considered. The density of external currents is taken as the control. The existence of an optimal control function is proved. Necessary optimality conditions are derived. The compactness of the set of solutions is established. 
@article{ZVMMF_2008_48_4_a6,
     author = {E. V. Amosova},
     title = {Optimal control of a~magnetohydrodynamic viscous heat-conducting gas flow},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {623--632},
     year = {2008},
     volume = {48},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a6/}
}
TY  - JOUR
AU  - E. V. Amosova
TI  - Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2008
SP  - 623
EP  - 632
VL  - 48
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a6/
LA  - ru
ID  - ZVMMF_2008_48_4_a6
ER  - 
%0 Journal Article
%A E. V. Amosova
%T Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2008
%P 623-632
%V 48
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a6/
%G ru
%F ZVMMF_2008_48_4_a6
E. V. Amosova. Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 4, pp. 623-632. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_4_a6/

[1] Ban Shi-n., Magnitnaya gazodinamika i dinamika plazmy, Izd-vo inostr. lit., M., 1964

[2] Kazhikhov A. B., Smagulov Sh., Korrektnost i priblizhennye metody dlya modeli magnitnoi gazovoi dinamiki, Dinamika sploshnoi sredy, 26, Novosibirsk, 1976

[3] Lukina E. V., Konovalova D. S., “Issledovanie zadachi optimalnogo upravleniya techeniyami vyazkogo gaza”, Zhurn. vychisl. matem. i matem. fiz., 40:3 (2000), 451–472 | MR | Zbl

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