具有局部黏弹性阻尼的弱耦合板-波系统的镇定
Stabilization of the weakly coupled plate-wave systems with local viscoelastic damping
钱嘉祺 1章春国1
作者信息
- 1. 杭州电子科技大学理学院,杭州 310018
- 折叠
摘要
研究了具有局部黏弹性阻尼的弱耦合板-波系统的镇定问题.在适当的假设下,在Hilbert空间中,运用线性算子半群的Lumer-Phillips定理得到该系统的适定性;进一步,借助线性算子半群一致指数稳定的频域特征,用分片乘子法结合矛盾讨论证明了弱耦合板-波系统的一致指数稳定性.
Abstract
The stabilization of the weakly coupled plate-wave systems with local viscoelastic damping is studied.Under appropriate assumptions,the well-posedness of the system in Hilbert space is obtained by using the Lumer-Phillips theorem of linear operator semigroups.Furthermore,with the help of the frequency domain characteristics of uniformly exponential stability of linear operator semigroups,the uniformly exponential stability of weakly coupled plate-wave systems is proved by using the piecewise multiplier method combined with the contradiction discussion.
关键词
板-波系统/局部黏弹性阻尼/适定性/分片乘子法/一致指数稳定性Key words
plate-wave system/local viscoelastic damping/well-posedness/piecewise multiplier method/uniform exponential stability引用本文复制引用
出版年
2024
NETL
NSTL
万方数据