Abstract
We study an initial boundary value problem for the 3D magnetohydrodynamics (MHD) equations of compressible fluids in R3. We establish a blow-up criterion for the local strong solutions in terms of the density and magnetic field. Namely, if the density is away from vacuum (ρ=0) and the concentration of mass (ρ=∞) and if the magnetic field is bounded above in terms of L∞-norm, then a local strong solution can be continued globally in time. Copyright © 2013 American Institute of Mathematical Sciences.
| Original language | English |
|---|---|
| Pages (from-to) | 3791-3805 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 33 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2013 |
Citation
Suen, A. (2013). A blow-up criterion for the 3D compressible magnetohydrodynamics in terms of density. Discrete and Continuous Dynamical Systems- A, 33(8), 3791-3805. doi: 10.3934/dcds.2013.33.3791Keywords
- Compressible magnetohydrodynamics
- Blow-up criteria