On the vanishing resistivity limit and the magnetic boundary-layers for one-dimensional compressible magnetohydrodynamics

2015/05/14 by Jiang, Song, Zhang, Jianwen · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1505.03596

Abstract

We consider an initial-boundary value problem for the one-dimensional equations of compressible isentropic viscous and non-resistive magnetohydrodynamic flows. The global well-posedness of strong solutions with general large data is established. Moreover, the vanishing resistivity limit is justified and the thickness of magnetic boundary layers is analyzed. The proofs of these results are based on a full use of the so-called "effective viscous flux", the material derivative and the structure of the equations.

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• Magnetic Stabilization of Compressible Flows: Global Existence in 3D Inviscid Non-Isentropic MHD Equations

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