A blow-up criterion for the 3D compressible magnetohydrodynamics in terms of density

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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 languageEnglish
Pages (from-to)3791-3805
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume33
Issue number8
DOIs
Publication statusPublished - 2013

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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.2013.33.3791

Keywords

  • Compressible magnetohydrodynamics
  • Blow-up criteria