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].
引用
收藏
页数：18
相关论文
共 50 条
  • [31] On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
    Jiang, Fei
    Jiang, Song
    Wang, Dehua
    JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (12) : 3369 - 3397
  • [32] Global solutions to the three-dimensional inhomogeneous incompressible Phan-Thien-Tanner system with a class of large initial data
    Chen, Yuhui
    Li, Minling
    Yao, Qinghe
    Yao, Zheng-an
    NONLINEARITY, 2024, 37 (09)
  • [33] GLOBAL STRONG SOLUTIONS OF THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW WITH THE CYLINDER SYMMETRY
    Tao, Qiang
    Gao, Jincheng
    Yao, Zheng-An
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2015, 13 (08) : 2065 - 2096
  • [34] Global small solutions of the compressible nematic liquid crystal flow in a bounded domain
    Fan, Jishan
    Sun, Jianzhu
    Tang, Tong
    Nakamura, Gen
    ANNALES POLONICI MATHEMATICI, 2020, 124 (01) : 47 - 59
  • [35] Weak solution to the steady compressible flow of nematic liquid crystals
    Tan, Zhong
    Xu, Qiuju
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (02) : 1343 - 1368
  • [36] Incompressible Limit for the Compressible Flow of Liquid Crystals
    Dehua Wang
    Cheng Yu
    Journal of Mathematical Fluid Mechanics, 2014, 16 : 771 - 786
  • [37] GLOBAL LARGE SOLUTIONS FOR THE COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM
    Li, Jinlu
    Yu, Yanghai
    Zhu, Weipeng
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 58 (06) : 1521 - 1537
  • [38] Incompressible Limit for the Compressible Flow of Liquid Crystals in Lp Type Critical Besov Spaces
    Bie, Qunyi
    Cui, Haibo
    Wang, Qiru
    Yao, Zheng-An
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (06) : 2879 - 2910
  • [39] GLOBAL EXISTENCE OF STRONG SOLUTIONS WITH LARGE OSCILLATIONS AND VACUUM TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS IN 3D BOUNDED DOMAINS
    Liu, Yang
    Zhong, Xin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (05): : 2158 - 2191
  • [40] Global solution to the incompressible flow of liquid crystals
    Li, Xiaoli
    Wang, Dehua
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (01) : 745 - 767
12345