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. 
@article{SJIM_2011_14_3_a10,
     author = {S. A. Sazhenkov},
     title = {An effective model of the dynamics of a~barotropic gas with fast oscillating initial data},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {100--111},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a10/}
}
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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/