Polynomial decay rate for a new class of viscoelastic Kirchhoff equation related with Balakrishnan-Taylor dissipation and logarithmic source terms

被引：9
|
作者：
Boulaaras, Salah [1 ,2 ]
机构：
[1] Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Saudi Arabia
[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Algeria
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2020年 / 59卷 / 03期
关键词：
Existence; Viscoelastic; Decay rates; Balakrishnan-Taylor dissipation; Polynomial decay; GLOBAL EXISTENCE; GENERAL DECAY;
D O I：
10.1016/j.aej.2019.12.013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a polynomial decay rate of Kirchhoff s nonlinear viscoelastic viscoelastic equation solution related with Balakrishnan-Taylor dissipation solution and logarithmic source terms is obtained, where we obtain the result of energy decay of solutions without impose the usual relationship between certain relaxation functions and their derivatives. This result generalizes the previous results to an arbitrary decay rate, that is not necessarily of the polynomial or exponential decay. (C) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
引用
收藏
页码：1059 / 1071
页数：13
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