Global small solution to the 2D MHD system with a velocity damping term
Analysis of PDEs
2013-11-26 v1
Abstract
This paper studies the global well-posedness of the incompressible magnetohydrodynamic (MHD) system with a velocity damping term. We establish the global existence and uniqueness of smooth solutions when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various Sobolev norms of the solutions are also given.
Cite
@article{arxiv.1311.6185,
title = {Global small solution to the 2D MHD system with a velocity damping term},
author = {Jiahong Wu and Yifei Wu and Xiaojing Xu},
journal= {arXiv preprint arXiv:1311.6185},
year = {2013}
}
Comments
27 pages