REGULAR CONTROLLABILITY OF GLOBAL ATTRACTORS FOR RETARDED g-NAVIER-STOKES EQUATIONS

被引：0

作者：

Zhang, Qiangheng ^{[1
]}

Liu, Hui ^{[2
]}

机构：

[1] Heze Univ, Sch Math & Stat, Heze 274015, Peoples R China

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Global attractor; regularity; upper semicontinuity; g-Navier-Stokes equations; delay; 2D-NAVIER-STOKES EQUATIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.3934/dcdsb.2024033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The regular dynamics of the autonomous g-Navier-Stokes equations with distributed delay and constant delay is studied. We first establish the abstract result for the upper semicontinuity of global attractors in the regular space for semigroups generated by delay partial differential equations. On the one hand, the theme can be established only by the convergence of solutions in the initial value space. On the other hand, we enhance the theoretical result of Zhao and Zhou [Nonlinearity 20 (2015) 1987-2006.]. We then apply the abstract result to the retarded g-Navier-Stokes equations. Since the high regularity of solutions is not easy established when the regularity of the initial value space is lower, we use the flattening property of solutions to prove the asymptotic compactness of the solution operator.

引用

页码：4024 / 4042

页数：19

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