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

• 作者: Dongyi Wei Zhifei Zhang
• 来源期刊: 数学研究通讯
• 年，卷（期）: 2020,（4）
• 页码范围: 377-389
• 页数: 13页
• 语种: 英文
• DOI: 10.4208/cmr.2020-0022

摘要

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 H4(T2), then the 2-D MHD equations are globally well-posed. To our knowledge, this is the first global well-posedness result for this system.