Large global solutions to the three dimensional compressible flow of liquid crystals

被引：4
|
作者：
Zhai, Xiaoping [1 ]
机构：
[1] Guangdong Univ Technol, Sch Math & Stat, Guangzhou 510520, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2025年 / 250卷
关键词：
Compressible flow of liquid crystals; Global large solutions; Littlewood-paley theory; NAVIER-STOKES EQUATIONS; INCOMPRESSIBLE LIMIT; WELL-POSEDNESS; CRITICAL SPACES; WEAK SOLUTIONS; ENERGY;
D O I：
10.1016/j.na.2024.113657
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to provide a class of large initial data which generates global solutions of the compressible flow of liquid crystals in R 3 . This class of data relax the smallness restriction imposed on the initial incompressible velocity. Moreover, the result improve considerably the work by Hu and Wu [SIAM J. Math. Anal., 45 (2013), 2678-2699].
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页数：18
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