A regularity condition of strong solutions to the two-dimensional equations of compressible nematic liquid crystal flows

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• 作者：Teng Wang
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：40
• 期：3
• 页码：546-563
• 全文大小：331K
• ISSN：1099-1476

文摘

This paper is concerned with the short time strong solutions for Cauchy problem to a simplified Ericksen–Leslie system of compressible nematic liquid crystals in two dimensions with vacuum as far field density. We establish a blow-up criterion for possible breakdown of such solutions at a finite time, which is analogous to the well-known Serrin's blow-up criterion for the incompressible Navier–Stokes equations. Copyright