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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
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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.
作者 别群益 罗成
机构地区 三峡大学理学院 沙市第十一中学
出处 《应用数学》 CSCD 北大核心 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)
关键词 粘弹热方程 爆破 正初始能量 阻尼 源项 Viscoelastic wave equations Blow-up Positive initial energy Damping Source terms
分类号 O175.29 [理学—基础数学]
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参考文献10

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应用数学
2011年 第3期

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