Local convergence and speed estimates for semilinear wave systems damped by boundary friction
Local convergence and speed estimates for semilinear wave systems damped by boundary friction
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DOI：
10.1016/j.jmaa.2018.02.038
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发表时间：
2018-06
影响因子：
1.3
通讯作者：
Zhe Jiao;Yong Xu
中科院分区：
文献类型：
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作者：
Zhe Jiao;Yong Xu
研究了边界带有摩擦阻尼项的非线性势能半线性波动系统的轨迹随时间的局部收敛到平衡点的问题。根据非线性反馈在原点附近的行为，给出了收敛速度的估计。作为应用实例，我们证明了具有非线性边界阻尼项的Sine-Gordon系统的轨迹至少以多项式逼近于平衡点。
We study the local convergence to equilibria, as time goes to infinity, of trajectories of semilinear wave systems with friction damping on the boundary and subject to nonlinear potential energy. Estimates for the speed of convergence are obtained in terms of the behavior of the nonlinear feedback close to the origin. As an example of application, we show that the trajectories of a sine-Gordon system with nonlinear boundary damping, approach equilibria at least polynomially.