Global small solutions of the compressible nematic liquid crystal flow in a bounded domain

Fan Jishan; Sun Jianzhu; Tang TongNakamura Gen

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Global small solutions of the compressible nematic liquid crystal flow in a bounded domain

机译：全球小型解决方案的可压缩向列液晶流在一个有限域

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摘要

We study the 3D compressible nematic liquid crystal flow in a bounded domain. We first prove a regularity criterion, and then use a bootstrap argument to prove the global well-posedness of strong solutions provided that parallel to rho(0)parallel to(L)infinity+parallel to del d(0)parallel to(L)6 is sufficiently small.

机译：研究了三维可压缩液体向列水晶流在一个有限域。一个规律性的标准,然后使用一个引导论点来证明全球的适定性问题强大的解决方案提供了并行ρ(0)(L)平行无限+ del平行d (0) (L)平行6是足够小。

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来源
《Annales Polonici Mathematici》 |2020年第1期|47-59|共13页
作者
Fan Jishan; Sun Jianzhu; Tang TongNakamura Gen;
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作者单位

Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China;

Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Peoples R China;

Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan;

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原文格式 PDF
正文语种英语
中图分类
关键词
compressible; Liquid Crystals; strong solutionDomainBounded;

机译：可压缩、液晶、强大solutionDomainBounded;

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3. GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE NON-ISOTHERMAL NEMATIC LIQUID CRYSTALS IN 2D [J] . Jinkai LI, Zhouping XIN 数学物理学报（英文版） . 2016,第004期
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Global small solutions of the compressible nematic liquid crystal flow in a bounded domain

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