Long-time dynamics of a class of nonlocal extensible beams with time delay

被引：0
|
作者：
Meng, Fengjuan [1 ]
Liu, Cuncai [1 ]
Zhang, Chang [1 ]
机构：
[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2022年 / 27卷 / 02期
关键词：
Extensible beam equation; quasi-stability property; time delay; global attractor; exponential attractor; EXPONENTIAL ATTRACTORS; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; GLOBAL ATTRACTOR; WAVE-EQUATION; STABILITY; EXISTENCE; BOUNDARY; TERM;
D O I：
10.1177/10812865211019457
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This work is devoted to the following nonlocal extensible beam equation with time delay: u(tt) + Delta(2) u - M(integral(Omega)vertical bar del u vertical bar(2) dx) Delta u + a(0)u(t)(x, t) + a(1)u(t)(x, t - tau) + phi(u) = f, on a bounded smooth domain Omega subset of R-n. The main purpose of this paper is to consider the long-time dynamics of the system. Under suitable assumptions, the quasi-stability property of the system is established, based on which the existence and regularity of a finite-dimensional compact global attractor are obtained. Moreover, the existence of exponential attractors is proved.
引用
收藏
页码：319 / 333
页数：15
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