Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Zhong, Xin¹ 

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

关键词: Compressible non-isothermal nematic liquid crystal flows;    Strong solutions;    Blow-up criterion;   

DOI  :  10.1016/j.jde.2019.04.025

来源: Elsevier

【 摘 要 】

We study the singularity formation of strong solutions to the two-dimensional (2D) compressible nonisothermal nematic liquid crystal flows in a bounded domain. Under a geometric condition of the initial orientation field, we show that the strong solution exists globally if the temporal integral of the maximum norm of the divergence of the velocity is bounded. Our method relies on critical Sobolev inequalities of logarithmic type and delicate energy estimates. (C) 2019 Elsevier Inc. All rights reserved.

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