A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

被引:0
|
作者
Abderrahmane Youkana
Salim A. Messaoudi
Aissa Guesmia
机构
[1] University of Batna 2,Department of Mathematics
[2] KFUPM,Department of Mathematics and Statistics
[3] Université de Lorraine,Elie Cartan Institute of Lorraine
[4] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源
Acta Mathematica Scientia | 2019年 / 39卷
关键词
heat equation; viscoelastic; general decay; optimal; 35K05;
D O I
暂无
中图分类号
学科分类号
摘要
We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.
引用
收藏
页码:618 / 626
页数:8
相关论文
共 50 条
  • [21] A general decay result for a semilinear heat equation with past and finite history memories
    Yang, Rui
    Fang, Zhong Bo
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
  • [22] A general decay result for a semilinear heat equation with past and finite history memories
    Rui Yang
    Zhong Bo Fang
    Boundary Value Problems, 2019
  • [23] General Decay of Solutions of a Nonlinear System of Viscoelastic Equations
    Wenjun Liu
    Acta Applicandae Mathematicae, 2010, 110 : 153 - 165
  • [24] General Decay of Solutions of a Thermoelastic Bresse System with Viscoelastic Boundary Conditions
    Khemmoudj, Ammar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (06): : 157 - 182
  • [25] A general decay result for a viscoelastic equation in the presence of past and finite history memories
    Guesmia, Aissa
    Messaoudi, Salim A.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) : 476 - 485
  • [26] Decay Result for a Delay Viscoelastic Plate Equation
    Mukiawa, Soh Edwin
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (02): : 333 - 356
  • [27] GENERAL AND OPTIMAL DECAY IN A MEMORY-TYPE TIMOSHENKO SYSTEM
    Messaoudi, Salim A.
    Hassan, Jamilu Hashim
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2018, 30 (01) : 117 - 145
  • [28] Decay Result for a Delay Viscoelastic Plate Equation
    Soh Edwin Mukiawa
    Bulletin of the Brazilian Mathematical Society, New Series, 2020, 51 : 333 - 356
  • [29] General decay of solutions of a nonlinear system of viscoelastic wave equations
    Belkacem Said-Houari
    Salim. A. Messaoudi
    Aissa Guesmia
    Nonlinear Differential Equations and Applications NoDEA, 2011, 18 : 659 - 684
  • [30] Existence and New General Decay Results for a Viscoelastic Timoshenko System
    Hassan, Jamilu Hashim
    Messaoudi, Salim A.
    Zahri, Mostafa
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2020, 39 (02): : 185 - 222