Geodesic
The convergence in weak topologies of approximate methods for an isentropic gas-dynamic system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 10, pp. 1503-1519 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. A. Tupchiev. The convergence in weak topologies of approximate methods for an isentropic gas-dynamic system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 10, pp. 1503-1519. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_10_a10/

[1] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR

[2] Galkin V. A., “Funktsionalnye resheniya zakonov sokhraneniya”, Dokl. AN SSSR, 310:4 (1990), 834–839 | MR | Zbl

[3] Sklobovskii N. K., Tupchiev V. A., “Funktsionalnye resheniya zakonov sokhraneniya i raznostnye skhemy”, Matem. modelirovanie, 3:7 (1991), 78–100 | MR

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

[5] Tupchiev V. A., “Predelnyi perekhod po parametram vyazkosti i teploprovodnosti v sistemakh gazovoi dinamiki”, Metody singulyarnykh vozmuschenii v prikl. zadachakh, Riga, 1990, 161–168 | Zbl

[6] Kapel Ya. I., “Ob odnoi modelnoi sisteme uravnenii odnomernogo dvizheniya gaza”, Differents. ur-niya, 4:4 (1968), 721–734

[7] Galkin V. A., “Ob uravnenii Smolukhovskogo kineticheskoi teorii koagulyatsii dlya prostranstvenno neodnorodnykh sistem”, Dokl. AN SSSR, 285:5 (1985), 1087–1091 | MR

[8] Tupchiev V. A., “O ravnomernoi ogranichennosti i skhodimosti po parametru priblizhennykh reshenii izentropicheskoi sistemy gazodinamiki”, Dokl. AN SSSR, 293:5 (1987), 1069–1073 | MR | Zbl

[9] Tartar L., “Compensated compactness and application to partial differential equations”, Nonlinear Analys. and Mech. Heriot-Watt Symposium, v. 4, Res. Notes Math., 39, Pitman Press, N. Y., 1979 | MR

[10] DiPerna R., “Convergens of the viscosity method for isentropic gas dynamics”, Communs Math. Phys., 91 (1983), 1–30 | DOI | MR | Zbl

[11] Rozhdestvenskii B. L., “Novyi metod resheniya zadachi Koshi v tselom dlya kvazilineinykh uravnenii”, Dokl. AN SSSR, 138:2 (1961), 309–312

[12] Kuznetsov N. N., “O slabom reshenii zadachi Koshi dlya mnogomernogo kvazilineinogo uravneniya”, Matem. zametki, 2:4 (1967), 401–410 | Zbl

[13] Kuznetsov N. N., “O primenenii metoda sglazhivaniya k nekotorym sistemam giperbolicheskikh kvazilineinykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 13:1 (1973), 92–102 | Zbl