论文标题
全球经典解决方案不存在重压的纳维尔 - 长粘液方程，并具有简单的粘度和真空
Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum
论文作者
论文摘要
我们担心与密度依赖性粘度的压缩可压缩的Navier-Stokes方程，这些方程可能在真空中退化。我们表明，当初始密度允许孤立的质量组和粘度系数满足某些条件时，在有限域中对界面域的正压Navier-Stokes方程的任何经典解决方案都会爆炸。本文首先提出了有关粘度的新条件。
We are concerned about the barotropic compressible Navier-Stokes equations with density-dependent viscosities which may degenerate in vacuum. We show that any classical solution to barotropic compressible Navier-Stokes equations in bounded domains will blow up, when the initial density admits an isolated mass group and the viscousity coefficients satisfy some conditions. A new condition on viscosities is first put forward in this paper.
