Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds

被引：0
作者：
Qingqing Peng
Zhifei Zhang
机构：
[1] Huazhong University of Science and Technology,School of Mathematics and Statistics
[2] Huazhong University of Science and Technology,Hubei Key Laboratory of Engineering Modeling and Scientific Computing
来源：
Applied Mathematics & Optimization | 2023年 / 88卷
关键词：
Global attractor; Coupled wave and plate equation; Nonlocal weak damping; Riemannian manifold; 35B40; 35B41; 35M31; 35L05; 74K20;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we consider the long time behavior for a coupled system on Riemannian manifold consisting of the plate equation and the wave equation with nonlocal weak damping, nonlocal anti-damping and critical nonlinearity. We obtain the existence of the global attractor for the coupled system by semi-group method and multiplier method.
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