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.

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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/

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