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arXiv · 1902.03329

Continuity equation and vacuum regions in compressible flows

Antonin Novotny·Milan Pokorny
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Abstract

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.

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Antonin Novotny, Milan Pokorny. 2019-02-08. Continuity equation and vacuum regions in compressible flows. https://arxiv.org/abs/1902.03329

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