Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive

被引：2

作者：

Kafini, Mohammad ^{[1
]}

Mustafa, Muhammad I. ^{[1
]}

机构：

[1] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 20卷

关键词：

Blow up; Cauchy problem; Finite time; Relaxation function; Viscoelastic; GLOBAL NONEXISTENCE THEOREMS; NONLINEAR-WAVE EQUATION; EVOLUTION-EQUATIONS; INITIAL-ENERGY; EXISTENCE; DECAY;

D O I：

10.1016/j.nonrwa.2014.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a Cauchy problem for a nonlinear viscoelastic equation with strong damping and dispersive terms. Under certain conditions on the initial data and the relaxation function, we prove a finite-time blow-up result. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：14 / 20

页数：7

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