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arXiv · 1207.2220

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

Anthony Suen
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Abstract

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 ($ρ= 0$) and the concentration of mass ($ρ=\infty$) and if the magnetic field is bounded above in terms of $L^\infty$-norm, then a local strong solution can be continued globally in time.

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Anthony Suen. 2012-07-10. A blow-up criterion for the 3D compressible magnetohydrodynamics in terms of density. https://arxiv.org/abs/1207.2220

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