On the global solvability and the non-resistive limit of the one-dimensional compressible heat-conductive MHD equations

摘要

In general, the resistivity is inversely proportional to the electrical conductivity and is usually taken to be zero when the conducting fluid is of extremely high conductivity (e.g., ideal conductors). In this paper, the global well-posedness of strong solution to the one-dimensional compressible, viscous, heat-conductive, non-resistive magnetohydrodynamics equations with large data, and general heat-conductivity is proved. Moreover, the non-resistive limit is justified and the convergence rates in L-2-norm are obtained, provided the heat-conductivity satisfies some growth condition.