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arXiv · 2011.14581

Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force

Anthony Suen
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Abstract

We provide a Serrin type blow-up criterion for the 3-D viscous compressible flows with large external potential force. For the Cauchy problem of the 3-D compressible Navier-Stokes system with potential force term, it can be proved that the strong solution exists globally if the velocity satisfies the Serrin's condition and the sup-norm of the density is bounded. Furthermore, in the case of isothermal flows with no vacuum, the Serrin's condition on the velocity can be removed from the claimed criterion.

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Anthony Suen. 2020-11-30. Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force. https://arxiv.org/abs/2011.14581

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