On a system of nonlinear wave equations with Balakrishnan–Taylor damping

被引：3
作者：
Chunlai Mu
Jie Ma
机构：
[1] Chongqing University,College of Mathematics and Statistics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2014年 / 65卷
关键词：
35L20; 35L70; 58G16; Balakrishnan–Taylor damping; General decay; Relaxation function; Viscoelastic material; Blow up;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the initial-boundary value problem for a coupled system of nonlinear viscoelastic wave equations of Kirchhoff type with Balakrishnan–Taylor damping terms. For certain class of relaxation functions and certain initial data, we prove that the decay rate of the solution energy is similar to that of relaxation functions which is not necessarily of exponential or polynomial type. Also, we show that nonlinear source of polynomial type is able to force solutions to blow up in finite time even in presence of stronger damping.
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页码：91 / 113
页数：22
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