Abstract
We study the 3-D compressible Navier-Stokes equations with an external potential force and a general pressure. We prove the global-in-time existence of weak solutions with small-energy initial data and with densities being positive and essentially bounded. No smallness assumption is made on the external force. Copyright © 2013 John Wiley & Sons, Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 2716-2727 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 37 |
| Issue number | 17 |
| Early online date | 14 Nov 2013 |
| DOIs | |
| Publication status | Published - 30 Nov 2014 |
Citation
Suen, A. (2014). Global existence of weak solution to Navier-Stokes equations with large external force and general pressure. Mathematical Methods in the Applied Sciences, 37(17), 2716-2727. doi: 10.1002/mma.3012Keywords
- Navier-Stokes equations
- Compressible flow
- Global weak solutions