Existence and general decay for the full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term
Existence and general decay for the full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term
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DOI：
10.1093/imamci/dnv056
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发表时间：
2015-10
期刊：
影响因子：
--
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
In this paper, we study the global existence and general decay rate for a one-dimensional full von Kármán beam with a thermo-viscoelastic damping, frictional dampings and a delay term in the internal feedback. First, we use the Faedo–Galerkin approximations together with energy estimates to obtain the existence and uniqueness of the global solutions. Then, by introducing suitable energy and Lyapunov functionals, under a hypothesis between the weight of the delay term and the weight of the friction damping term in the internal feedback, we establish a general decay rate result for the energy, which allows a wider class of relaxation functions, and thus generalize some previous results existing in the literature.
