Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion
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@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} }
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 -
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.
Wei , Dongyi and Zhang , Zhifei. (2020). Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion.
Communications in Mathematical Research . 36 (4).
377-389.
doi:10.4208/cmr.2020-0022
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