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Global Classical Large Solutions with Vacuum to 1D Compressible MHD with Zero Resistivity

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Abstract

We establish the global-in-time existence and uniqueness of classical solutions of the initial boundary value problem for 1D compressible magnetohydrodynamics with zero magnetic resistivity, where the initial vacuum is allowed. In present paper, we do not require initial value to be small.

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Correspondence to Haibo Yu.

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Yu, H. Global Classical Large Solutions with Vacuum to 1D Compressible MHD with Zero Resistivity. Acta Appl Math 128, 193–209 (2013). https://doi.org/10.1007/s10440-013-9826-3

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  • DOI: https://doi.org/10.1007/s10440-013-9826-3

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