EXPONENTIAL STABILIZATION OF A DYNAMIC FRICTIONAL CONTACT PROBLEM FOR VISCOELASTIC MATERIALS WITH NORMAL DAMPED RESPONSE AND INFINITE MEMORY

被引：0

作者：

Ouakil, Imane ^{[1
]}

Benabderrahmane, Benyattou ^{[2
]}

Boukhatem, Yamna ^{[2
]}

Feng, Baowei ^{[3
]}

机构：

[1] Mohamed Boudiaf Univ, Lab Pure & Appl Math, Msila 28000, Algeria

[2] Natl Higher Sch Math, Algiers 16093, Algeria

[3] Southwestern Univ Finance & Econ, Dept Math, Chengdu 611130, Peoples R China

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2024年

关键词：

Contact problem; exponential stability; frictional contact; nonlinear semigroup theory; existence; NUMERICAL-ANALYSIS;

D O I：

10.3934/mcrf.2024011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a dynamic frictional contact for viscoelastic materials. The contact is modeled by normal damped response. A nonlinear constitutive law with infinite memory is given. The global existence of solution is proved based on nonlinear semigroup theory. Moreover, we apply the multiplier method to establish the exponential stability of the system.

引用

页数：22

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