Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity

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• 作者：Zhuan Ye ^{yezhuan815@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35Q35 ; 35B65 ; 35Q85 ; 76W05
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：144
• 期：Complete
• 页码：182-193
• 全文大小：623 K

文摘

In this paper we study the three-dimensional (3D) incompressible Hall-magnetohydrodynamic (Hall-MHD) equations and obtain its regularity criterion only in terms of the vorticity field. As a consequence, it improves the known results.