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

页数：18

共 50 条

[31] Global existence for slightly compressible hydrodynamic flow of liquid crystals in two dimensions
ShiJin Ding
JinRui Huang
JunYu Lin
Science China Mathematics, 2013, 56 : 2233 - 2250
[32] Global existence for slightly compressible hydrodynamic flow of liquid crystals in two dimensions
DING ShiJin
HUANG JinRui
LIN JunYu
ScienceChina(Mathematics), 2013, 56 (11) : 2233 - 2250
[33] Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states
Hoff, D
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1998, 49 (05): : 774 - 785
[34] Spherically symmetric solutions to compressible hydrodynamic flow of liquid crystals in N dimensions
Jinrui Huang
Shijin Ding
Chinese Annals of Mathematics, Series B, 2012, 33 : 453 - 478
[35] Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states
Hoff D.
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1998, 49 (5): : 774 - 785
[36] Spherically symmetric solutions to compressible hydrodynamic flow of liquid crystals in N dimensions
Huang, Jinrui
Ding, Shijin
CHINESE ANNALS OF MATHEMATICS SERIES B, 2012, 33 (03) : 453 - 478
[37] Spherically Symmetric Solutions to Compressible Hydrodynamic Flow of Liquid Crystals in N Dimensions
Jinrui HUANG 1 Shijin DING 11 School of Mathematical Sciences
Chinese Annals of Mathematics(Series B), 2012, 33 (03) : 453 - 478
[38] Partial regularity criteria for suitable weak solutions of the three-dimensional liquid crystals flow
Yu, Huan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (14) : 4196 - 4207
[39] Global large solutions to the two-dimensional compressible Navier–Stokes equations
Xiaoping Zhai
Zhi-Min Chen
Zeitschrift für angewandte Mathematik und Physik, 2021, 72
[40] LARGE GLOBAL SOLUTIONS OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THREE DIMENSIONS
Zhai, Xiaoping
Chen, Yiren
LI, Yongsheng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 43 (01) : 309 - 337

← 1 2 3 4 5 →