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arXiv · 2011.11968

Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum

Minling Li·Zheng-an Yao·Rongfeng Yu
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Abstract

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.

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Minling Li, Zheng-an Yao, Rongfeng Yu. 2020-11-24. Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum. https://arxiv.org/abs/2011.11968

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