Geodesic
Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions
Informatics and Automation, Modern problems of mechanics, Tome 281 (2013), pp. 68-83

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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. 
@article{TRSPY_2013_281_a6,
     author = {P. I. Plotnikov and S. A. Sazhenkov},
     title = {Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions},
     journal = {Informatics and Automation},
     pages = {68--83},
     publisher = {mathdoc},
     volume = {281},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2013_281_a6/}
}
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P. I. Plotnikov; S. A. Sazhenkov. Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions. Informatics and Automation, Modern problems of mechanics, Tome 281 (2013), pp. 68-83. http://geodesic.mathdoc.fr/item/TRSPY_2013_281_a6/