Classical solutions for the compressible liquid crystal flows with nonnegative initial densities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:397

Article

Ma, Shixiang

关键词: Classical solution;    Liquid crystal flows;   

DOI  :  10.1016/j.jmaa.2012.08.010

来源: Elsevier

【 摘 要 】

In this paper, we study the Cauchy problem of the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in R-3. We first prove the local existence of the strong solutions provided that the data satisfies a natural compatibility condition. Then by deriving the smoothing effect of the solution in t > 0, we conclude that it is indeed classical on some time interval [0, T-0]. Here we do not need the condition that initial density is bounded below away from zero. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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