A Beale-Kato-Majda blow-up criterion for a hydrodynamic system modeling vesicle and fluid interactions

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• 作者：Jihong Zhao ^{jihzhao@163.com" class="auth_mail" title="E-mail the corresponding author zhaojih@nwsuaf.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35B65 ; 35Q30 ; 76D09 ; 76T10
• 刊名：Nonlinear Analysis
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：128
• 期：Complete
• 页码：20-35
• 全文大小：665 K

文摘

In this paper, we establish an analog of the Beale–Kato–Majda type criterion for singularities of smooth solutions of a hydrodynamic system modeling vesicle and fluid interactions. The result shows that the maximum norm of the vorticity alone controls the breakdown of smooth solutions.