caa a22 4500 605525528 CHVBK 20210128100759.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2443-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2443-0 Sazhenkov S. Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS, 15, Ac. Lavrentieva pr., 630090, Novosibirsk, Russia aut Kinetic Equation for Homogenization of a One-Dimensional Model of Dynamics of a Mixture of Viscous Barotropic Gases [Elektronische Daten] [S. Sazhenkov] We consider the one-dimensional model of the dynamics of a mixture of viscous barotropic gases with rapidly oscillating initial distribution of the specific volume. We rigorously justify the homogenization procedure as the frequency of rapid oscillations tends to infinity. We construct a closed limit effective model of the mixture motion containing an additional kinetic equation that carries a complete information on the evolution of the limit oscillations modes. It is shown that for periodic initial data the constructed limit model is reduced to a system of quasihomogenized Bakhvalov- Églit equations. The proof is based on construction of two-scale Young measures. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/2(2015-07-01), 253-266 1072-3374 208:2<253 2015 208 10958 https://doi.org/10.1007/s10958-015-2443-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2443-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sazhenkov S. Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS, 15, Ac. Lavrentieva pr., 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/2(2015-07-01), 253-266 1072-3374 208:2<253 2015 208 10958