On center singularity for compressible spherically symmetric nematic liquid crystal flows

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Wang, Yun¹  Huang, Xiangdi² 

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

[2] Chinese Acad Sci, NCMIS, AMSS, Beijing 100190, Peoples R China

关键词: Compressible nematic liquid crystal flows;    Blowup criterion;    Spherically symmetric flows;   

DOI  :  10.1016/j.jde.2017.12.035

来源: Elsevier

【 摘 要 】

The paper is concerned with a simplified system, proposed by Ericksen[6] and Leslie[20], modeling the flow of nematic liquid crystals. In the first part, we give a new Serrin's continuation principle for strong solutions of general compressible liquid crystal flows. Based on new observations, we establish a localized Serrin's regularity criterion for the 3D compressible spherically symmetric flows. It is proved that the classical solution loses its regularity in finite time if and only if, either the concentration or vanishing of mass forms or the norm inflammation of gradient of orientation field occurs around the center. (c) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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