Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping
Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping
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DOI：
10.1080/00036811.2016.1268688
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发表时间：
2018-02
影响因子：
1.1
通讯作者：
Wenjun Liu;Kewang Chen;Jun Yu
中科院分区：
文献类型：
--
作者：
Wenjun Liu;Kewang Chen;Jun Yu
本文研究了具有内反馈热粘弹性阻尼的一维非自治full von Kármán梁的渐近行为。通过引入合适的能量和一些Lyapunov泛函，在非自治函数和松弛函数的某些限制下，我们证明了解的渐近行为，并建立了能量的一般衰减结果。
In this paper, we study the asymptotic behavior for a one-dimensional non-autonomous full von Kármán beam with a thermo-viscoelastic damping in the internal feedback. By introducing a suitable energy and some Lyapunov functionals, under some restrictions on the non-autonomous functions and the relaxation function, we show the asymptotic behavior of the solution and establish a general decay result for the energy.