Longtime behavior of multidimensional wave equation with local Kelvin-Voigt damping

被引：3
|
作者：
Han, Zhong-Jie [1 ]
Yu, Kai [2 ]
Zhang, Qiong [3 ]
机构：
[1] Tianjin Univ, Sch Math, Tianjin Key Lab BIIT, Tianjin 300354, Peoples R China
[2] Nankai Univ, Chern Inst Math, Tianjin, Peoples R China
[3] Beijing Inst Technol, Sch Math, Beijing Key Lab MCAACI, Beijing, Peoples R China
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2022年 / 102卷 / 06期
基金：
中国国家自然科学基金;
关键词：
EXPONENTIAL STABILITY; ELASTIC-SYSTEMS; STABILIZATION; REGULARITY; DECAY;
D O I：
10.1002/zamm.202000275
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the longtime behavior of a coupled multidimensional elastic-viscoelastic waves system is considered. This model consists of an elastic wave domain and an viscoelastic wave domain, connecting by a common interface. The dissipative damping is produced in the viscoelastic wave via the boundary connection. By the resolvent estimate together with microlocal analysis argument, we show that the corresponding semigroup is polynomially stable with decay rate t(-1) under certain conditions.
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页数：17
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