Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 406-415.

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We study an initial-boundary value problem which describes unsteady motions of a viscous compressible two-component fluid. We formulate an approximate problem via the Galerkin method, and prove its solvability.
Keywords: Galerkin approximations, non-stationary boundary value problem, one-dimensional flow, homogeneous multi-velocity multifluid.
Mots-clés : viscous compressible fluid
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A. E. Mamontov; D. A. Prokudin. Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 406-415. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a87/

[1] A. V. Kazhikov, A. N. Petrov, Din. Splosh. Sredy, 35 (1978), 61–73 (in Russian)

[2] A. N. Petrov, Din. Splosh. Sredy, 56 (1982), 105–121 (in Russian)

[3] I. Müller, Arch. Rat. Mech. Anal., 28, 1–39 \r 1968 | MR | Zbl

[4] R. I. Nigmatulin, Dynamics of multiphase media, v. 1, Hemisphere, N.Y., 1990

[5] K. L. Rajagopal, L. Tao, Mechanics of mixtures, Series on Advances in Mathematics for Applied Sciences, 35, World Scientific, River Edge, NJ, 1995 | MR | Zbl

[6] S. N. Antontsev, A. V. Kazhikhov, V. N. Monakhov, Boundary value problems in mechanics of nonhomogeneous fluids, Studies in Mathematics and its Applications, 22, North-Holland Publishing Co., Amsterdam, 1990 | MR | Zbl