A general decay result for a memory-type thermoelasticity with second sound

被引:4
作者
Messaoudi, Salim A. [1 ]
Madani, Belabbas [2 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[2] ENS Laghouat, Dept Math, Laghouat, Algeria
关键词
thermoelasticity with second sound; general decay; relaxation function; EXPONENTIAL STABILITY; NONLINEAR THERMOELASTICITY; BOUNDARY STABILIZATION; SYSTEM;
D O I
10.1080/00036811.2013.842230
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider an n-dimensional system of thermoelasticity with second sound in the presence of a viscoelastic term acting in the domain. We prove a general decay result from which the usual exponential and polynomial decay results are only special cases.
引用
收藏
页码:1663 / 1673
页数:11
相关论文
共 50 条
[21]   Energy decay of dissipative plate equations with memory-type boundary conditions [J].
Mustafa, Muhammad I. .
ASYMPTOTIC ANALYSIS, 2016, 100 (1-2) :41-62
[22]   General stability of memory-type thermoelastic Timoshenko beam acting on shear force [J].
Apalara, Tijani A. .
CONTINUUM MECHANICS AND THERMODYNAMICS, 2018, 30 (02) :291-300
[23]   Exponential decay for a strain gradient porous thermoelasticity with second sound [J].
Ahmima, A. ;
Fareh, A. .
ARMENIAN JOURNAL OF MATHEMATICS, 2022, 14 (03) :1-23
[24]   General boundary stabilization of memory type in thermoelasticity of type III [J].
Salim A. Messaoudi ;
Aisha Al-Shehri .
Zeitschrift für angewandte Mathematik und Physik, 2011, 62 :469-481
[25]   A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback [J].
Ouchenane, Djamel .
GEORGIAN MATHEMATICAL JOURNAL, 2014, 21 (04) :475-489
[26]   Uniform Stability of Second Sound Thermoelasticity with Distributed Delay [J].
Mustafa, Muhammad I. .
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (03) :597-608
[27]   Optimal rates of decay in 2-d thermoelasticity with second sound [J].
Fernandez Sare, Hugo D. ;
Munoz Rivera, Jaime E. .
JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)
[28]   Energy decay in thermoelasticity with viscoelastic damping of general type [J].
Muhammad I. Mustafa .
Acta Mathematica Sinica, English Series, 2015, 31 :331-344
[29]   Energy Decay in Thermoelasticity with Viscoelastic Damping of General Type [J].
Muhammad I.MUSTAFA .
ActaMathematicaSinica(EnglishSeries), 2015, 31 (02) :331-344
[30]   General decay of solutions of a linear one-dimensional porous-thermoelasticity system with a boundary control of memory type [J].
Soufyane, A. ;
Afilal, M. ;
Aouam, T. ;
Chacha, M. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) :3903-3910