Energy decay in thermoelasticity with viscoelastic damping of general type

被引：0
作者：
Muhammad I. Mustafa
机构：
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源：
Acta Mathematica Sinica, English Series | 2015年 / 31卷
关键词：
Thermoelasticity; viscoelastic damping; general decay; convexity; 35B37; 35L55; 74D05; 93D15; 93d20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider an n-dimensional thermoelastic system with viscoelastic damping. We establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a larger class of relaxation functions and generalizes previous results existing in the literature.
引用
收藏
页码：331 / 344
页数：13
相关论文
共 50 条
[41]   General energy decay and stability analysis of a nonlinear euler-bernoulli beam with a boundary control and viscoelastic damping [J].
Lekdim, Billal ;
Bchatnia, Ahmed ;
Mtiri, Foued .
RICERCHE DI MATEMATICA, 2025,
[42]   General decay of solution for a transmission problem in infinite memory-type thermoelasticity with second sound [J].
Liu, Wenjun ;
Wang, Danhua ;
Chen, Dongqin .
JOURNAL OF THERMAL STRESSES, 2018, 41 (06) :758-775
[43]   General decay for memory-type porous elastic system with thermoelasticity of type III [J].
Fayssal, Djellali .
RICERCHE DI MATEMATICA, 2024, 73 (03) :1323-1341
[44]   GENERAL DECAY OF SOLUTIONS FOR A NONLINEAR VISCOELASTIC WAVE EQUATION WITH NONLOCAL BOUNDARY DAMPING [J].
Tahamtani, Faramarz ;
Peyravi, Amir .
MISKOLC MATHEMATICAL NOTES, 2014, 15 (02) :753-760
[45]   New general decay results in an infinite memory viscoelastic problem with nonlinear damping [J].
Adel M. Al-Mahdi ;
Mohammad M. Al-Gharabli .
Boundary Value Problems, 2019
[46]   New general decay results in an infinite memory viscoelastic problem with nonlinear damping [J].
Al-Mandi, Adel M. ;
Al-Gharabli, Mohammad M. .
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
[47]   GENERAL DECAY OF SOLUTIONS FOR A SINGULAR NONLOCAL VISCOELASTIC PROBLEM WITH NONLINEAR DAMPING AND SOURCE [J].
Sun, Yun ;
Li, Gang ;
Liu, Wenjun .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (01) :50-55
[48]   GENERAL STABILITY IN MEMORY-TYPE THERMOELASTICITY WITH SECOND SOUND [J].
Mustafa, Muhammad I. .
DYNAMIC SYSTEMS AND APPLICATIONS, 2015, 24 (03) :327-340
[49]   General decay of the solution energy in a viscoelastic equation with a nonlinear source [J].
Messaoudi, Salim A. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2589-2598
[50]   Energy decay rate of transmission problem between thermoelasticity of type I and type II [J].
Jing Wang ;
Zhong-Jie Han ;
Gen-Qi Xu .
Zeitschrift für angewandte Mathematik und Physik, 2017, 68
12345