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

被引：2

作者：

Fan, Jishan ^{[1
]}

Sun, Jianzhu ^{[1
]}

Tang, Tong ^{[2
]}

Nakamura, Gen ^{[3
]}

机构：

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

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

[3] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

ANNALES POLONICI MATHEMATICI | 2020年 / 124卷 / 01期

关键词：

liquid crystals; compressible; bootstrap argument; regularity criterion; MACH NUMBER LIMIT; WELL-POSEDNESS; VACUUM;

D O I：

10.4064/ap181215-18-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：47 / 59

页数：13

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