Long-time dynamics of a nonlinear Timoshenko beam with discrete delay term and nonlinear damping

被引：8

作者：

Dos Santos, M. J. ^{[1
]}

Freitas, M. M. ^{[2
]}

Ramos, A. J. A. ^{[2
]}

Almeida Junior, D. S. ^{[3
]}

Rodrigues, L. R. S. ^{[4
]}

机构：

[1] Fed Univ Para, Fac Exact Sci & Technol, Manoel de Abreu St, BR-68440000 Abaetetuba, PA, Brazil

[2] Fed Univ Para, Fac Math, Raimondo Santana St, BR-68721000 Salinopolis, PA, Brazil

[3] Fed Univ Para, PhD Program Math, 01 Augusto Correa St, BR-66075110 Belem, Para, Brazil

[4] Univ Fed Maranhao, 2008 Jose Anselmo Ave, BR-65400000 Codo, MA, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 06期

关键词：

ASYMPTOTIC-BEHAVIOR; GLOBAL ATTRACTOR; EXTENSIBLE BEAM; QUASI-STABILITY; PLATE EQUATION; SYSTEM; MODEL;

D O I：

10.1063/5.0006680

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of this manuscript is to establish well posedness as well as the existence of global and exponential attractor for a nonlinear Timoshenko system subject to control terms in the two equations of the system. Since the control terms act on both equations, we will not use the nonphysical relationship known as equal speeds of propagation of waves. A combination involving friction-delay and friction controls will act on the angle of rotation equation, while a nonlinear friction control will act on the transverse motion equation. The result will be established by showing that the system is quasi-stable and by using a relationship involving the size of the friction type controls inserted in the rotation angle equation.

引用

页数：17

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