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BLOW-UP FOR THE EULER-BERNOULLI VISCOELASTIC EQUATION WITH A NONLINEAR SOURCE

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成果类型:
期刊论文
作者:
Yang, Zhifeng;Fan, Guobing*
通讯作者:
Fan, Guobing
作者机构:
[Yang, Zhifeng] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China.
[Yang, Zhifeng] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.
[Fan, Guobing] Hunan Univ Finance & Econ, Changsha 410205, Hunan, Peoples R China.
通讯机构:
[Fan, Guobing] H
Hunan Univ Finance & Econ, Changsha 410205, Hunan, Peoples R China.
语种:
英文
关键词:
Blow-up;Nonlinear source;Viscoelastic equation
期刊:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN:
1072-6691
年:
2015
卷:
2015
基金类别:
Natural Science Foundation of Hunan Province, ChinaNatural Science Foundation of Hunan Province [14JJ7070]; Key Built Disciplines of Hunan Province [[2011]76]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
In this article, we consider the Euler-Bernoulli viscoelastic equation u(tt)(x,t) + Delta(2)u(x,t) - integral(t)(0) g(t-s)Delta(2)u(x,s)ds = vertical bar u vertical bar(p-1)u together with some suitable initial data and boundary conditions in Omega x (0, +infinity). Some sufficient conditions on blow-up of solutions are obtained under different initial energy states. And from these results we can clearly understand the competitive relatio...

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