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arXiv · 1705.05132

Blow up criteria for the compressible Navier--Stokes equations

Hi Jun Choe·Minsuk Yang
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Abstract

We study the strong solution to the 3-D compressible Navier--Stokes equations. We propose a new blow up criterion for barotropic gases in terms of the integral norm of density $\rho$ and the divergence of the velocity $\bu$ without any restriction on the physical viscosity constants. Our blow up criteria can be seen as a partial realization of the underlying principle that the higher integrability implies the boundedness and then eventual regularity. We also present similar blow up criterion for the heat conducting gases.

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Hi Jun Choe, Minsuk Yang. 2017-05-15. Blow up criteria for the compressible Navier--Stokes equations. https://arxiv.org/abs/1705.05132

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