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.
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页码：47 / 59
页数：13
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