EXISTENCE AND DECAY OF GLOBAL STRONG SOLUTIONS TO THE NONHOMOGENEOUS INCOMPRESSIBLE LIQUID CRYSTAL SYSTEM WITH VACUUM AND DENSITY-DEPENDENT VISCOSITY

被引：0

作者：

Ye, Xia ^{[1
]}

Zhu, Mingxuan ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Wenzhou 273165, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2024年 / 22卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonhomogeneous incompressible liquid crystal system; Density-dependent viscosity; Global existence; Vacuum; Decay; NAVIER-STOKES EQUATIONS; ERICKSEN-LESLIE SYSTEM; WELL-POSEDNESS; WEAK SOLUTION; FLOWS; REGULARITY; UNIQUENESS; SOLVABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the initial value problem of the three-dimensional nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity. We prove the existence of global strong solution on R-3 x (0,oo) under the initial norm IIu0II(H alpha) +II del d(0)IIH alpha (1/2 < alpha < 1) being suitably small. In addition, the algebraic decay rate estimates of the global strong solution are obtained.

引用

页码：257 / 283

页数：27

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