Well-posedness and general decay for Moore-Gibson-Thompson equation in viscoelasticity with delay term

被引：4

作者：

Braik, Abdelkader ^{[1
]}

Beniani, Abderrahmane ^{[2
]}

Zennir, Khaled ^{[3
,4
]}

机构：

[1] Univ Hassiba Ben Bouali, Dept Sci & Technol, Chlef, Algeria

[2] Univ Ctr BELHADJ Bouchaib Ain Tmouchent, Dept Math, BP 284, Ain Tmouchent 46000, Algeria

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

[4] Univ 8 Mai 1945 Guelma, Lab Math Appl & Modelisat, BP 401, Guelma 24000, Algeria

来源：

RICERCHE DI MATEMATICA | 2022年 / 71卷 / 02期

关键词：

Moore-Gibson-Thompson equation; Viscoelastic terms; Well-posedness; General decay; MEMORY; STABILITY;

D O I：

10.1007/s11587-021-00561-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of Moore-Gibson-Thompson equation with infinite memory and time delay terms is considered. Under suitable Lyapunov functionals with an appropriate assumptions on the kernel function and on the weight of the delay, we prove the well-posedness and the exponential stability of the system.

引用

页码：689 / 710

页数：22

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