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

被引：3

作者：

Peng, Qingqing ^{[1
,2
]}

Zhang, Zhifei ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2023年 / 88卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Global attractor; Coupled wave and plate equation; Nonlocal weak damping; Riemannian manifold; COMPOSITE SYSTEM; BEHAVIOR; DYNAMICS; MODELS;

D O I：

10.1007/s00245-023-09998-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：26

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