Abstract

In this paper, we investigate the blow-up mechanism to the bipolar compressible Navier–Stokes–Poisson system in three dimensions. It is essentially shown that the mass of the model will concentrate in some spatial points, even if the initial density contains vacuum states, provided that the smooth solution develops singularity in finite time.

中文翻译：

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3D 双极可压缩纳维-斯托克斯-泊松系统中的质量集中现象

摘要

在本文中，我们从三个维度研究了双极可压缩纳维-斯托克斯-泊松系统的爆炸机制。本质上表明，即使初始密度包含真空态，只要光滑解在有限时间内产生奇点，模型的质量也会集中在某些空间点。