Well-Posedness and Stability Results for a Nonlinear Damped Porous-Elastic System with Infinite Memory and Distributed Delay Terms

被引：1

作者：

Moumen, Abdelkader ^{[1
]}

Ouchenane, Djamel ^{[2
]}

Bouhali, Keltoum ^{[3
]}

Altayeb, Yousif ^{[4
]}

机构：

[1] Univ Hail, Dept Math, Fac Sci, Hail 55425, Saudi Arabia

[2] Univ Laghouat, Lab Pure & Appl Math, Laghouat 03000, Algeria

[3] Univ 20 Aout 1955, Dept Math, Fac Sci, Skikda 21000, Algeria

[4] Qassim Univ, Dept Math, Coll Arts & Sci, Ar Rass 51921, Saudi Arabia

来源：

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2021年 / 26卷 / 04期

关键词：

well-posedness; general decay; infinite memory; nonlinear damping; porous-elastic system; distributed delay term; TIME-VARYING DELAY; WAVE-EQUATION; DECAY; STABILIZATION;

D O I：

10.3390/mca26040071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we consider an important problem from the application perspective in science and engineering, namely, one-dimensional porous-elastic systems with nonlinear damping, infinite memory and distributed delay terms. A new minimal conditions, placed on the nonlinear term and the relationship between the weights of the different damping mechanisms, are used to show the well-posedness of the solution using the semigroup theory. The solution energy has an explicit and optimal decay for the cases of equal and nonequal speeds of wave propagation.

引用

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