Global Well-Posedness for a 1-D Compressible Non-isothermal Model for Nematic Liquid Crystals

被引：2

作者：

Tang, Tong ^{[1
]}

Sun, Jianzhu ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2020年 / 168卷 / 01期

关键词：

Compressible; Non-isothermal; Liquid crystals; Well-posedness; MACH NUMBER LIMIT; NAVIER-STOKES EQUATIONS; CLASSICAL-SOLUTIONS; VACUUM; FLUIDS; FLOWS;

D O I：

10.1007/s10440-019-00285-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove global well-posedness of strong solutions to a 1-D compressible non-isothermal model for nematic liquid crystals, provided that the initial datum satisfies a natural compatibility condition. The initial density may vanish in an open subset.

引用

页码：217 / 233

页数：17

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