Quasi-stability and attractors for a nonlinear coupled wave system with memory

被引：7

作者：

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

Lobato, R. F. C. ^{[1
]}

Cordeiro, S. M. S. ^{[1
]}

Dos Santos, A. C. B. ^{[2
]}

机构：

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

[2] Fed Univ Para, Doctoral Program Math, 01 Augusto Correa St, BR-66075110 Belem, PA, Brazil

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2021年 / 14卷 / 02期

关键词：

Nonlinear wave equations system with memory; Global attractos; Exponential attractor; DECAY; EQUATIONS;

D O I：

10.1007/s40574-020-00258-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper it will be considered a non-linear system consisting of two wave equations, non-homogeneous and coupled under the effect of non-linear source and damping terms. In addition, one of them will also act as a memory term. The structure of the dynamic system associated with the solutions of this system will allow the use of the quasi-stability theory in order to obtain the existence of global and exponential attractors.

引用

页码：297 / 321

页数：25

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