Blow-up criteria of the simplified Ericksen–Leslie system

被引：0
作者：
Zhengmao Chen
Fan Wu
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] Nanchang Institute of Technology,College of Science
来源：
Boundary Value Problems | / 2023卷
关键词：
Simplified Ericksen–Leslie system; Blow-up criteria; Mixed-norm Lebesgue spaces; 35Q35; 76D03;
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摘要：
In this paper, we establish scaling invariant blow-up criteria for a classical solution to the simplified Ericksen–Leslie system in terms of the positive part of the second eigenvalue of the strain matrix and orientation field in mixed-norm Lebesgue spaces. Our result may be also regarded as an extension or improvement of the corresponding results obatined by Neustupa and Penel (Trends in Partial Differential Equations of Mathematical Physics, pp. 197–212, 2005), Miller (Arch. Ration. Mech. Anal. 235(1):99–139, 2020) and Huang and Wang (Commun. Partial Differ. Equ. 37(5):875–884, 2012).
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