Global well-posedness for the 2-D nonhomogeneous incompressible MHD equations with large initial data

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• 作者：Xiaoping Zhai^a ; ^{pingxiaozhai@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yongsheng Li^b ; ^{yshli@scut.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Huan Xu^c ; ^{hxuscut@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Global well-posedness ; MHD equations ; Besov space
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：Complete
• 页码：1-18
• 全文大小：678 K

文摘

In this paper, we consider the 2-D nonhomogeneous incompressible magnetohydrodynamic equations with variable viscosity and variable conductivity. We obtain the global existence of solutions for this system with initial data in the scaling invariant Besov spaces and without size restriction for the initial velocity and magnetic field.