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. Copyright © 2021 John Wiley & Sons, Ltd.
CitationSuen, A. (2022). Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force. Mathematical Methods in the Applied Sciences, 45(4), 2072-2086. doi: 10.1002/mma.7908
- Blow-up criteria
- Compressible flow
- Navier-Stokes equations
- Potential force