A blowup criterion for the compressible nematic liquid crystal flows in dimension two

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Gao, Jincheng¹  Tao, Qiang¹  Yao, Zheng-an¹ 

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

关键词: Compressible nematic liquid crystal;    flows;    Strong solution;    Blowup criterion;   

DOI  :  10.1016/j.jmaa.2014.01.039

来源: Elsevier

【 摘 要 】

In this paper, we establish a blowup criterion for the two-dimensional compressible nematic liquid crystal flows. The criterion is given in terms of the density and the gradient of direction field, where the later satisfies the Serrin-type blowup criterion. For this result, we do not need the initial density to be positive. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free