TY - JOUR
T1 - Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion
AU - Wei , Dongyi
AU - Zhang , Zhifei
JO - Communications in Mathematical Research 
VL - 4
SP - 377
EP - 389
PY - 2020
DA - 2020/11
SN - 36
DO - http://doi.org/10.4208/cmr.2020-0022
UR - https://global-sci.org/intro/article_detail/cmr/18358.html
KW - MHD equations, globally well-posedness.
AB - <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>