Geodesic
On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 2, pp. 87-110 
A. A. Amosov; A. A. Zlotnik. On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 2, pp. 87-110. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_2_a6/
@article{ZVMMF_1996_36_2_a6,
     author = {A. A. Amosov and A. A. Zlotnik},
     title = {On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {87--110},
     year = {1996},
     volume = {36},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_2_a6/}
}
TY  - JOUR
AU  - A. A. Amosov
AU  - A. A. Zlotnik
TI  - On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1996
SP  - 87
EP  - 110
VL  - 36
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_2_a6/
LA  - ru
ID  - ZVMMF_1996_36_2_a6
ER  - 
%0 Journal Article
%A A. A. Amosov
%A A. A. Zlotnik
%T On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1996
%P 87-110
%V 36
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_2_a6/
%G ru
%F ZVMMF_1996_36_2_a6

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

[1] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR

[2] Antontsev S. N., Kazhikhov A. V., Monakhov V. N., Kraevye zadachi mekhaniki neodnorodnykh zhidkostei, Nauka, Novosibirsk, 1983 | Zbl

[3] Larkin N. A., Novikov V. A., Yanenko N. N., Nelineinye uravneniya peremennogo tipa, Nauka, Novosibirsk, 1983 | MR

[4] Maslov V. P., Mosolov P. P., Uravneniya odnomernogo barotropnogo gaza, Nauka, M., 1990 | MR

[5] Bakhvalov N. S., Eglit M. E., “Protsessy v periodicheskikh sredakh, ne opisyvaemye v terminakh srednikh kharakteristik”, Dokl. AN SSSR, 268:4 (1983), 836–840 | MR | Zbl

[6] Bakhvalov N. S., Panasenko G. P., Osrednenie protsessov v periodicheskikh sredakh, Nauka, M., 1984 | MR | Zbl

[7] Serre D., “Variations de grande amplitude pour la densite d'un fluide visqueux compressible”, Physica D, 48 (1991), 113–128 | DOI | MR | Zbl

[8] Zlotnik A. A., Amosov A. A., “Obobschennye resheniya «v tselom» uravnenii odnomernogo dvizheniya vyazkogo barotropnogo gaza”, Dokl. AN SSSR, 299:6 (1988), 1303–1307 | Zbl

[9] Amosov A. A., Zlotnik A. A., “Razreshimost «v tselom» odnogo klassa kvazilineinykh sistem uravnenii sostavnogo tipa s negladkimi dannymi”, Differents. ur-niya, 30:4 (1994), 596–609 | MR | Zbl

[10] Amosov A. A., Zlotnik A. A., “Edinstvennost i ustoichivost obobschennykh reshenii odnogo klassa kvazilineinykh sistem uravnenii sostavnogo tipa”, Matem. zametki, 55:6 (1994), 13–31 | MR | Zbl

[11] Amosov A. A., Zlotnik A. A., “Obosnovanie kvaziosrednennykh uravnenii odnomernogo dvizheniya vyazkoi barotropnoi sredy s bystroostsilliruyuschimi svoistvami”, Dokl. RAN, 342:3 (1995), 1–5 | MR

[12] Amosov A. A., Zlotnik A. A., “Razreshimost «v tselom» kvaziosrednennykh uravnenii odnomernogo dvizheniya vyazkoi barotropnoi sredy s negladkimi dannymi”, Vestn. MEI, 1994, no. 4, 7–24 | MR

[13] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl

[14] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967

[15] Danford N., Shvarts Dzh., Lineinye operatory, v. I, Obschaya teoriya, Izd-vo inostr. lit., M., 1962

[16] Natanson I. P., Teoriya funktsii veschestvennoi peremennoi, Nauka, M., 1974 | MR

[17] Iosida K., Funktsionalnyi analiz, Mir, M., 1967 | MR

[18] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978 | MR

[19] Oleinik O. A., Iosifyan G. A., Shamaev A. S., Matematicheskie zadachi teorii silno neodnorodnykh uprugikh sred, Izd-vo MGU, M., 1990

[20] Dacorogna B., Weak continuity and weak lower semicontinuity of non-linear functionals, Lect. Notes in Math., 922, Springer, Berlin, 1982 | MR | Zbl

[21] Zhikov V. V., Kozlov S. M., Oleinik O. A., Usrednenie differentsialnykh operatorov, Fizmatgiz, M., 1993 | MR | Zbl

[22] Amosov A. A., Zlotnik A. A., “Edinstvennost i ustoichivost obobschennykh reshenii kvaziosrednennykh uravnenii odnomernogo dvizheniya vyazkoi barotropnoi sredy”, Differents. ur-niya, 31:7 (1995), 1123–1131 | MR | Zbl

[23] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1976 | MR

[24] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR