Long-Time Dynamics of a Plate Equation with Memory and Time Delay

被引：9

作者：

Feng, Baowei ^{[1
]}

机构：

[1] Southwestern Univ Finance & Econ, Dept Econ Math, Chengdu 611130, Sichuan, Peoples R China

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2018年 / 49卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Plate equation; Memory; Delay; Global attractor; Exponential attractor; EXTENSIBLE BEAM EQUATION; GLOBAL ATTRACTORS; EXPONENTIAL STABILITY; WELL-POSEDNESS; WAVE-EQUATION; GENERAL DECAY; SOURCE TERMS; EXISTENCE; BEHAVIOR; MODELS;

D O I：

10.1007/s00574-017-0060-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A plate equation with past history and time-varying delay in the internal feedback is considered. The main result is the long-time dynamics of the system. Under suitable assumptions on real numbers and , we establish the quasi-stability property of the system and obtain the existence of a global attractor which has finite fractal dimension. We also prove the existence of exponential attractors.

引用

页码：395 / 418

页数：24

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