Dynamics of a nonlinear laminated beam with thermodiffusion effects

被引：0
作者：
Li, Haiyan [1 ]
Feng, Baowei [2 ]
机构：
[1] North Minzu Univ, Coll Math & Informat Sci, Yinchuan, Peoples R China
[2] Southwestern Univ Finance & Econ, Dept Math, Chengdu, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 15期
关键词：
global attractor; laminated beam; quasi-stable systems; Timoshenko; thermodiffusion; EXPONENTIAL STABILIZATION; UPPER SEMICONTINUITY; WELL-POSEDNESS; STABILITY; DECAY;
D O I：
10.1002/mma.9690
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A laminated beam system with thermodiffusion effects is considered. The main result is the long-time dynamics of the system. By showing the system is gradient and asymptotic smoothness, the existence of a global attractor is obtained, which is characterized as unstable manifold of the set of stationary solutions. The quasi-stability of the system and the finite fractal dimension of the global attractor are established by a stabilizability inequality. The continuity of global attractors regarding the parameter in a residual dense set is finally proved.
引用
收藏
页码：11912 / 11932
页数：21
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