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

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arxiv 1505.03596 v1 pith:PUL5WUQ4 submitted 2015-05-14 math.AP

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

classification math.AP
keywords compressibleequationslimitmagneticone-dimensionalresistivityvanishingviscous
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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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