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Propagation of Density-Oscillations in Solutions to the Barotropic Compressible Navier–Stokes System
Authors:M. Hillairet
Affiliation:(1) UMPA-ENS Lyon, 46, Allée d’Italie, 69364 Lyon Cedex 07, France
Abstract:Considering a bounded sequence of weak solutions to the compressible Navier–Stokes system, we introduce Young measures as in [12] in order to describe a “homogenized system” satisfied in the limit. We then study the Cauchy problem associated to this “homogenized system” when Young measures are convex combinations of Dirac measures.
Keywords:Secondary 35Q10   35B27   35A07   76M50
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