Global well-posedness for magneto-micropolar system in dimensions

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• 作者：Yujun Liu^a ; ^b ; Shan Li ; ^c ; ^{lishan@scu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35A01 ; 35A02 ; 49K40 ; 76D03
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：20 April 2016
• 年：2016
• 卷：280
• 期：Complete
• 页码：72-85
• 全文大小：362 K

文摘

Whether or not the classical solution of the 3D magneto-micropolar equations exists globally or develops the finite-time singularity is still a difficult problem. In this paper, we investigated the global well-posedness for $2\frac{1}{2}$D incompressible magneto-micropolar system. By a standard energy method, we obtain the global existence and uniqueness for $2\frac{1}{2}$D incompressible magneto-micropolar system.