Geodesic
The solvability of the nonstationary problem for the model system of the barotropic gas flows
Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 1, pp. 37-52 Cet article a éte moissonné depuis la source Math-Net.Ru

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Considered an approximate system Navier-Stokes equtions for the compressible viscous barotropic flows. The nonpotential flows are considered. The global existence of the weak solutions for the 3-dimensional problem is obtained. In the case the 2-dimensional the theorem of the existense and uniqueness is proved. The proof of main result is based on a new priori estimates. 
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E. V. Lukina. The solvability of the nonstationary problem for the model system of the barotropic gas flows. Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 1, pp. 37-52. http://geodesic.mathdoc.fr/item/DVMG_2001_2_1_a2/

[1] L. G. Loitsyanskii, Mekhanika zhidkosti i gaza, M., 1970

[2] L. I. Sedov, Mekhanika sploshnoi sredy, v. 1, M., 1970

[3] V. A. Vaigant, A. V. Kazhikhov, “Globalnye resheniya uravnenii potentsialnykh techenii szhimaemoi vyazkoi zhidkosti pri malykh chislakh Reinoldsa”, Differents. uravneniya, 30:6 (1994) | MR

[4] V. V. Ragulin, “K zadache protekaniya dlya uravnenii idealnoi zhidkosti”, Matematicheskie problemy mekhaniki, v. 43, Dinamika sploshnoi sredy, Novosibirsk, 1979, 79–90 | MR

[5] S. Agmon, A. Duglis, L. Nirenberg, Otsenki vblizi granitsy reshenii ellipticheskikh uravnenii v chastnykh proizvodnykh pri obschikh granichnykh usloviyakh, Izd-vo inostr. lit., M., 1962

[6] V. A. Solonnikov, “Pereopredelennye ellipticheskie zadachi”, Kraevye zadachi matematicheskoi fiziki, Nauka, L., 1971

[7] S. N. Antontsev, A. V. Kazhikhov, V. N. Monakhov, Kraevye zadachi mekhaniki neodnorodnykh zhidkostei, Novosibirsk, 1983 | MR

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

[9] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1976