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

Abstract

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.

25 pages

References in corpus (2)

• Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
• A Blow-Up Criterion for the Compressible Navier-Stokes equations

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