Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms

Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
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DOI:
10.1016/j.jmaa.2009.10.050
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发表时间:
2010-05
影响因子:
1.3
通讯作者:
S. Messaoudi;B. Said-Houari
S. Messaoudi;B. Said-Houari
中科院分区:
数学3区
文献类型:
--
作者:
S. Messaoudi;B. Said-Houari

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这项工作是关于一个粘弹性波动方程组,两个方程中都含有非线性阻尼项和源项。证明了具有正初始能量的某些解的整体不存在定理。
This work is concerned with a system of viscoelastic wave equations with nonlinear damping and source terms acting in both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.