Global weak solutions to the one-dimensional compressible heat-conductive MHD equations without resistivity
arXiv:1710.10171
Abstract
We investigate the initial-boundary value problem for one-dimensional compressible, heat-conductive, non-resistive MHD equations of viscous, ideal polytropic fluids in the Lagrangian coordinates. The existence and Lipschitz continuous dependence on the initial data of global weak solutions are established. Uniqueness of weak solutions follows as a direct consequence of stability.
19 pages. arXiv admin note: text overlap with arXiv:1710.08248