Geodesic
Two-sided boundary control of heat conduction in a one-dimensional material: a hyperbolic model
Sibirskij žurnal industrialʹnoj matematiki, Tome 10 (2007) no. 4, pp. 32-40.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{SJIM_2007_10_4_a3,
     author = {O. G. Zhukova and R. K. Romanovskii},
     title = {Two-sided boundary control of heat conduction in a one-dimensional material: a hyperbolic model},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {32--40},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2007_10_4_a3/}
}
TY  - JOUR
AU  - O. G. Zhukova
AU  - R. K. Romanovskii
TI  - Two-sided boundary control of heat conduction in a one-dimensional material: a hyperbolic model
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2007
SP  - 32
EP  - 40
VL  - 10
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2007_10_4_a3/
LA  - ru
ID  - SJIM_2007_10_4_a3
ER  - 
%0 Journal Article
%A O. G. Zhukova
%A R. K. Romanovskii
%T Two-sided boundary control of heat conduction in a one-dimensional material: a hyperbolic model
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2007
%P 32-40
%V 10
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2007_10_4_a3/
%G ru
%F SJIM_2007_10_4_a3
O. G. Zhukova; R. K. Romanovskii. Two-sided boundary control of heat conduction in a one-dimensional material: a hyperbolic model. Sibirskij žurnal industrialʹnoj matematiki, Tome 10 (2007) no. 4, pp. 32-40. http://geodesic.mathdoc.fr/item/SJIM_2007_10_4_a3/

[1] Romanovskii R. K., “O matritsakh Rimana pervogo i vtorogo roda”, Dokl. AN SSSR, 267:3 (1982), 577–580 | MR

[2] Romanovskii R. K., “O matritsakh Rimana pervogo i vtorogo roda”, Mat. sb., 127:4 (1985), 494–501 | MR | Zbl

[3] Romanovskii R. K., “Eksponentsialno rasscheplyaemye giperbolicheskie sistemy s dvumya nezavisimymi peremennymi”, Mat. sb., 133:3 (1987), 341–355 | MR | Zbl

[4] Vorobeva E. V., Romanovskii R. K., “Metod kharakteristik dlya giperbolicheskikh kraevykh zadach na ploskosti”, Sib. mat. zhurn., 41:3 (2000), 531–540 | MR

[5] Zelenyak T. I., “O statsionarnykh resheniyakh smeshannykh zadach, voznikayuschikh pri izuchenii nekotorykh khimicheskikh protsessov”, Differents. uravneniya, 2:2 (1966), 205–213 | Zbl

[6] Godunov S. K., Uravneniya matematicheskoi fiziki, Nauka, M., 1979 | MR | Zbl

[7] Eltysheva N. A., “O kachestvennykh svoistvakh reshenii nekotorykh giperbolicheskikh sistem na ploskosti”, Mat. sb., 135:2 (1988), 186–209 | MR | Zbl

[8] Lavrentev M. M. (ml.), Lyulko N. A., “Povyshenie gladkosti reshenii nekotorykh giperbolicheskikh zadach”, Sib. mat. zhurn., 38:1 (1997), 109–124 | MR

[9] Romanovskii R. K., Stratilatova E. N., “Reshenie odnomernoi odnofaznoi giperbolicheskoi zadachi Stefana metodom granichnykh integralnykh uravnenii”, Sib. zhurn. industr. matematiki, 7:3(19) (2004), 119–131 | MR | Zbl

[10] Lykov A. V., Teoriya teploprovodnosti, Vyssh. shkola, M., 1967 | Zbl

[11] Kartashov E. M., Remizova O. I., “Novye integralnye sootnosheniya v teorii nestatsionarnogo teploperenosa na osnove uravneniya giperbolicheskogo tipa”, Izv. RAN. Ser. Energetika, 2002, no. 3, 146–156

[12] Burakhanov B. M., Lyutikova E. N., Medin S. A., Giperbolicheskaya teploprovodnost i vtoroi zakon termodinamiki, Preprint, No 2-462, OIVT RAN, M., 2002, 28 pp.

[13] Romanovskii R. K., Vorobeva E. V., Stratilatova E. N., Metod Rimana dlya giperbolicheskikh sistem, Nauka, Novosibirsk, 2007

[14] Lions Zh.-L., Optimalnoe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Mir, M., 1972 | MR

[15] Ilin V. A., Moiseev E. I., “Optimalnoe granichnoe upravlenie uprugoi siloi na odnom kontse struny pri svobodnom vtorom ee kontse”, Differents. uravneniya, 41:1 (2005), 105–115 | MR

[16] Ilin V. A., Moiseev E. I., “Optimalnoe granichnoe upravlenie smescheniem na odnom kontse pri svobodnom vtorom kontse i otvechayuschee emu raspredelenie polnoi energii struny”, Dokl. RAN, 400:5 (2005), 587–591 | MR

[17] Emanuilov O. Yu., “Granichnaya upravlyaemost giperbolicheskimi uravneniyami”, Sib. mat. zhurn., 41:4 (2000), 944–959 | MR | Zbl