具阻尼和源项的非线性粘弹热方程组解的爆破(英文)  

Blow-up of Solutions for a System of Nonlinear Viscoelastic Wave Equations with Damping and Source Terms

作　　者：别群益[1] 罗成 

机构地区：[1]三峡大学理学院,湖北宜昌443002 [2]沙市第十一中学,湖北荆州434000

出　　处：《应用数学》2011年第3期479-487,共9页Mathematica Applicata

基　　金：Supported by the National Nature Science Foundation of China(61074091);the Project of Outstanding Young and Middle-aged Scientific and Technological Innovation Team of Colleges and Universities in Hubei Province(T201103)

摘　　要：考虑一个具阻尼和源项的非线性粘弹热方程组的初边值问题.建立一个正初始能量下方程组解的爆破结果.This paper deals with a system of nonlinear viscoelastic wave equations with initial conditions and Dirichlet boundary conditions. A blow-up theorem for certain solutions with positive initial energy is obtained.

关 键 词：粘弹热方程 爆破 正初始能量 阻尼 源项 

分 类 号：O175.29[理学—数学]