Well-posedness for Hall-magnetohydrodynamics
Mathematical Physics
2012-12-18 v1 Analysis of PDEs
math.MP
Abstract
We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resitive, viscous or inviscid Hall-MHD model. We also show a Liouville theorem for the stationary solutions.
Keywords
Cite
@article{arxiv.1212.3919,
title = {Well-posedness for Hall-magnetohydrodynamics},
author = {Dongho Chae and Pierre Degond and Jian-Guo Liu},
journal= {arXiv preprint arXiv:1212.3919},
year = {2012}
}