Smooth dynamics of a Timoshenko system with hybrid dissipation

被引：3
作者：
Qin, Yuming [1 ]
Rivera, Jaime E. Munoz [2 ,3 ]
Ma, To Fu [4 ]
机构：
[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China
[2] Natl Lab Sci Comp LNCC, BR-25651076 Petropolis, RJ, Brazil
[3] Univ Bio Bio, Dept Math, Concepcion 4051381, Chile
[4] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil
来源：
ASYMPTOTIC ANALYSIS | 2023年 / 131卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Timoshenko; global attractor; gradient; memory; porous-thermoelastic; quasi-stability; ENERGY DECAY; STABILITY; ATTRACTORS; EQUATIONS; MEMORY;
D O I：
10.3233/ASY-221768
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the longtime dynamics of a class of thermoelastic Timoshenko beams with history in a nonlinear elastic foundation. Our main result establishes the existence of a global attractor with finite fractal dimension without requiring the so-called equal wave speeds assumption. In addition, the attractor belongs to the phase space of strong solutions. The results are based on properties of gradient systems and a concept of quasi-stability. We believe this is the first study on the existence of global attractors for semilinear Timoshenko systems with hybrid dissipation (heat and memory).
引用
收藏
页码：109 / 123
页数：15
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