Continuity equation and vacuum regions in compressible flows
Analysis of PDEs
2019-02-12 v1
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.
Cite
@article{arxiv.1902.03329,
title = {Continuity equation and vacuum regions in compressible flows},
author = {Antonin Novotny and Milan Pokorny},
journal= {arXiv preprint arXiv:1902.03329},
year = {2019}
}