In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity coefficient)-independent estimates, we establish the non-resistive limit of the global strong solutions with large initial data. Moreover, as a by-product, the global well-posedness of strong solutions for the compressible resistive MHD equations is also established.

中文翻译：

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无限远处无真空的一维 MHD 方程的非电阻极限

本文考虑了无穷远处无真空的一维可压缩等熵磁流体动力学（MHD）方程的柯西问题，但在该区域内可以允许初始真空。通过推导与 ν（电阻率系数）无关的先验估计，我们建立了具有大量初始数据的全局强解的非电阻极限。此外，作为副产品，还建立了可压缩电阻 MHD 方程强解的全局适定性。