@Article{CMR-36-377,
author = {Wei , Dongyi and Zhang , Zhifei},
title = {Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion},
journal = {Communications in Mathematical Research },
year = {2020},
volume = {36},
number = {4},
pages = {377--389},
abstract = {<p style="text-align: justify;">In this paper, we consider the 2-D MHD equations with magnetic
resistivity but without dissipation on the torus. We prove that if the initial data
is small in $H^4$($\mathbb{T}^2$), then the 2-D MHD equations are globally well-posed. To
our knowledge, this is the first global well-posedness result for this system.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2020-0022},
url = {http://global-sci.org/intro/article_detail/cmr/18358.html}
}