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.
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页码：257 / 283
页数：27
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