Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system
Analysis of PDEs
2020-04-16 v2
Abstract
Under the condition of small external forces, we obtain existence of a weak solution of the steady Hall-MHD system with H\"{o}lder continuous magnetic field. We also established regularity of weak solutions provided that magnetic fields are bounded. For sufficiently small external forces, uniqueness result is also established.
Cite
@article{arxiv.2002.05103,
title = {Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system},
author = {Yong Zeng and Zhibing Zhang},
journal= {arXiv preprint arXiv:2002.05103},
year = {2020}
}
Comments
the final version