Global weak solutions to the one-dimensional compressible heat-conductive MHD equations without resistivity
Analysis of PDEs
2017-10-30 v1
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.
Keywords
Cite
@article{arxiv.1710.10171,
title = {Global weak solutions to the one-dimensional compressible heat-conductive MHD equations without resistivity},
author = {Yang Li and Yongzhong Sun},
journal= {arXiv preprint arXiv:1710.10171},
year = {2017}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:1710.08248