A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations

Physics – Mathematical Physics

Scientific paper

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25 pages

Scientific paper

In this paper, we obtain a blow up criterion for classical solutions to the
3-D compressible Naiver-Stokes equations just in terms of the gradient of the
velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible
flow. In addition, initial vacuum is allowed in our case.

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