arXiv:1902.03329 Abstract | arXiv Analytics

arXiv:1902.03329 [math.AP]Abstract References Reviews Resources

Continuity equation and vacuum regions in compressible flows

Published 2019-02-08Version 1

We investigate the creation and properties of eventual vacuum regions in the weak solutions of the continuity equation, in general, and in the weak solutions of compressible Navier--Stokes equations, in particular. The main results are based on the analysis of renormalized solutions to the continuity and pure transport equations and their inter-relations which are of independent interest.

Categories: math.AP

Subjects: 76N10, 35Q30

Keywords: continuity equation, compressible flows, weak solutions, eventual vacuum regions, pure transport equations

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