@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 = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0022}, url = {http://global-sci.org/intro/article_detail/cmr/18358.html} }