Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations

被引：4

作者：

Mustafa, Muhammad, I ^{[1
]}

Kafini, Mohammad ^{[2
]}

机构：

[1] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates

[2] King Fahd Univ Petr & Minerals, Dept Math, Dhahran, Saudi Arabia

来源：

JOURNAL OF APPLIED ANALYSIS | 2019年 / 25卷 / 01期

关键词：

General decay; coupled system; viscoelasticity; relaxation function; GENERAL DECAY; ASYMPTOTIC-BEHAVIOR; STABILITY RESULT; UNIFORM DECAY; ENERGY; WAVE; MEMORY;

D O I：

10.1515/jaa-2019-0011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear quasilinear system of two coupled viscoelastic equations and investigate the asymptotic behavior of this system. We establish an explicit and general formula for the energy decay rates. Our result allows a wider class of relaxation functions, which improves earlier results existing in the literature.

引用

页码：97 / 110

页数：14

共 36 条

[31] Exponential stability to a contact problem of partially viscoelastic materials [J].

Rivera, JEM ;

Oquendo, HP .

JOURNAL OF ELASTICITY, 2001, 63 (02) :87-111

[32]

Rivera JEM, 2001, Q APPL MATH, V59, P557

[33]

Rivera JEM, 1996, COMMUN MATH PHYS, V177, P583, DOI 10.1007/BF02099539

[34]

RIVERA JEM, 1994, Q APPL MATH, V52, P629

[35]

Segal I. E., 1963, Bull. Soc. Math. France, V91, P129

[36] On the standing wave in coupled non-linear Klein-Gordon equations [J].

Zhang, J .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2003, 26 (01) :11-25

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