GENERAL STABILITY RESULTS FOR THE TRANSLATIONAL PROBLEM OF MEMORY-TYPE IN POROUS THERMOELASTICITY OF TYPE III

被引：3
作者：
Guesmia, Aissa [1 ]
Kafini, Mohammad [2 ]
Tatar, Nasser Eddine [2 ]
机构：
[1] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, 3 Rue Augustin Fresnel, Metz, France
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2020年
关键词：
Translational problem; Uniform and weak decay; Viscoelastic damping; Porous thermoelastic system;
D O I：
10.23952/jnfa.2020.49
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A beam modelled by a Timoshenko system with a viscoelastic damping on one component is considered. The system is coupled with a hyperbolic heat equation. One end of the structure is fixed to a platform in a translational movement and the other one is attached to a non-negligble mass. The well-posedness and asymptotic stability results for the system under some conditions on the initial and the boundary data are established.
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页数：23
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