Kinetic Equation for Homogenization of a One-Dimensional Model of Dynamics of a Mixture of Viscous Barotropic Gases
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605525528 | ||
| 003 | CHVBK | ||
| 005 | 20210128100759.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150701xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2443-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2443-0 | ||
| 100 | 1 | |a Sazhenkov |D S. |u Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS, 15, Ac. Lavrentieva pr., 630090, Novosibirsk, Russia |4 aut | |
| 245 | 1 | 0 | |a Kinetic Equation for Homogenization of a One-Dimensional Model of Dynamics of a Mixture of Viscous Barotropic Gases |h [Elektronische Daten] |c [S. Sazhenkov] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/2(2015-07-01), 253-266 |x 1072-3374 |q 208:2<253 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2443-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2443-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Sazhenkov |D S. |u Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS, 15, Ac. Lavrentieva pr., 630090, Novosibirsk, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/2(2015-07-01), 253-266 |x 1072-3374 |q 208:2<253 |1 2015 |2 208 |o 10958 | ||