Geodesic
An effective model of the dynamics of a~barotropic gas with fast oscillating initial data
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 100-111.

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Under study are the classical three-dimensional Navier–Stokes equations of a compressible inhomogeneous viscous fluid in a smooth bounded domain endowed with no-slip conditions on the boundary of the domain and fast oscillating initial density distributions. The state equation of the medium is the state equation for a barotropic gas. We assume that the adiabatic constant is greater than 3. We give a rigorous derivation of the homogenization procedure as the frequencies of fast oscillations tend to infinity and obtain a limit effective model of the dynamics of a compressible viscous gas with fast oscillating initial data.
Mots-clés : viscous compressible barotropic gas
Keywords: homogenization, fast oscillating initial data. 
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S. A. Sazhenkov. An effective model of the dynamics of a~barotropic gas with fast oscillating initial data. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 100-111. http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a10/

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