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. Copyright © 2021 John Wiley & Sons, Ltd.
Original language | English |
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Pages (from-to) | 2072-2086 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 45 |
Issue number | 4 |
Early online date | Nov 2021 |
DOIs | |
Publication status | Published - 15 Mar 2022 |
Citation
Suen, 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.7908Keywords
- Blow-up criteria
- Compressible flow
- Navier-Stokes equations
- Potential force