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On non-resistive limit of 1D MHD equations with no vacuum at infinity
Advances in Nonlinear Analysis ( IF 3.2 ) Pub Date : 2022-01-01 , DOI: 10.1515/anona-2021-0209
Zilai Li 1 , Huaqiao Wang 2 , Yulin Ye 3
Affiliation  

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:

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。
更新日期:2022-01-01
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