论文标题

全球经典解决方案,用于可压缩的微极粘性流体,具有较大的振荡和真空

Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum

论文作者

Zhu, Canze, Tao, Qiang

论文摘要

在本文中,我们考虑了可压缩的微极粘性流的三个维度库奇问题,我们证明存在独特的全球经典解决方案,用于具有较小初始能量但可能较大的振动较大的平滑初始数据,但初始密度可能允许包含真空状态。此外,还获得了溶液的大型行为。

In this paper, we consider the three dimensional Cauchy problem of the compressible micropolar viscous flows, we prove the existence of unique global classical solution for smooth initial data with small initial energy but possibly large oscillations, the initial density may allowed to contain vacuum states. Furthermore, the large-time behavior of the solution is obtained.

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