摘要

We study an initial boundary value problem for the 3D magnetohydrodynamics (MHD) equations of compressible fluids in R-3. 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 (rho = 0) and the concentration of mass (rho = infinity) and if the magnetic field is bounded above in terms of L-infinity-norm, then a local strong solution can be continued globally in time.

  • 出版日期2013-8