Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
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DOI：
10.1002/mma.804
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发表时间：
2007-04
影响因子：
2.9
通讯作者：
S. Messaoudi;N. Tatar
中科院分区：
文献类型：
--
作者：
S. Messaoudi;N. Tatar
本文考虑了具有Dirichlet边界条件的标准型非线性粘弹性波动方程。通过引入一个新的泛函，并利用势阱方法，证明了当初始值在某个稳定集中时，粘弹性项所引起的阻尼足以保证解的整体存在性和一致衰减性.版权所有© 2006约翰威利父子有限公司。
In this paper the nonlinear viscoelastic wave equation in canonical form with Dirichlet boundary condition is considered. By introducing a new functional and using the potential well method, we show that the damping induced by the viscoelastic term is enough to ensure global existence and uniform decay of solutions provided that the initial data are in some stable set. Copyright © 2006 John Wiley & Sons, Ltd.