Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: MHD equations global well-posedness Lei-Lin space
• 年，卷（期）: 2018,（4）
• 页码范围: 343-352
• 页数: 10页
• 分类号: O175.24
• 语种: 英文
• DOI: 10.4208/jpde.v31.n4.5

摘要

We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1].Moreover,we prove that solutions decay to zero as time goes to infinity.