Blow‐up phenomena for a class of fourth‐order nonlinear wave equations with a viscous damping term
Blow‐up phenomena for a class of fourth‐order nonlinear wave equations with a viscous damping term
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DOI：
10.1002/mma.3623
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发表时间：
2015
影响因子：
2.9
通讯作者：
Ali Khelghati;Khadijeh Baghaei
中科院分区：
文献类型：
--
作者：
Ali Khelghati;Khadijeh Baghaei
本文研究一类具有粘性阻尼项utt - αuxxt+uxxxx=f(ux)x, x∈Ω， t> （Ω =(0,1)和α >0）的四阶非线性波动方程的爆破现象。这里，f(s)是一个给定的非线性光滑函数。
This paper deals with the blow‐up phenomena for a class of fourth‐order nonlinear wave equations with a viscous damping term utt−αuxxt+uxxxx=f(ux)x, x∈Ω, t>0 with Ω = (0,1) and α > 0. Here, f(s) is a given nonlinear smooth function.