naa a22 4500 510812287 CHVBK 20180411083448.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1134/S008154381304007X doi (NATIONALLICENCE)springer-10.1134/S008154381304007X Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions [Elektronische Daten] [P. Plotnikov, S. Sazhenkov] Equations describing the dynamics of a viscous gas are considered in a bounded space-time domain. It is assumed that the boundary values of density distributions oscillate rapidly. Limit regimes that arise when the oscillation frequencies tend to infinity are studied. As a result, a limit (averaged) model is constructed that contains full information on the limit oscillation regimes and includes an additional kinetic equation that has the form of the Boltzmann equation in the kinetic theory of gases. Pleiades Publishing, Ltd., 2013 Plotnikov P. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Lavrent'eva 15, 630090, Novosibirsk, Russia aut Sazhenkov S. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Lavrent'eva 15, 630090, Novosibirsk, Russia aut Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 62-76 0081-5438 281:1<62 2013 281 11501 https://doi.org/10.1134/S008154381304007X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S008154381304007X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Plotnikov P. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Lavrent'eva 15, 630090, Novosibirsk, Russia aut NATIONALLICENCE 700 1- Sazhenkov S. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Lavrent'eva 15, 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 62-76 0081-5438 281:1<62 2013 281 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer