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.
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|Publication status||Published - 2013|
CitationSuen, 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.2013.33.3791
- Compressible magnetohydrodynamics
- Blow-up criteria