On non-resistive limit of 1D MHD equations with no vacuum at infinity

Abstract

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.

Keywords

• 1d compressible mhd equations
• cauchy problem
• global strong solutions
• non-resistive limit
• 35d35
• 35q35
• 76n10
• 76w05