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Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion

Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion
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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.

Author Details

Dongyi Wei

Zhifei Zhang

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