Year: 2020
Author: Dongyi Wei, Zhifei Zhang
Communications in Mathematical Research , Vol. 36 (2020), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2020-0022
Communications in Mathematical Research , Vol. 36 (2020), Iss. 4 : pp. 377–389
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: MHD equations globally well-posedness.