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.

中文翻译：

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可压缩流的连续性方程和真空区域

我们通常在连续性方程的弱解中，尤其是在可压缩Navier–Stokes方程的弱解中研究最终真空区域的产生和性质。主要结果是基于对连续性方程和纯输运方程及其相互关系的重归一化分析的分析，这些方程是相互独立的。