TIME-DEPENDENT ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR PLATE EQUATIONS WITH LINEAR MEMORY

被引：16
|
作者：
Liu, Tingting [1 ]
Ma, Qiaozhen [1 ]
机构：
[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 10期
关键词：
Plate equation; linear memory; time-dependent attractor; regularity; compactness transitivity theorem; asymptotic structure; CRITICAL EXPONENT; UNBOUNDED DOMAIN; GLOBAL ATTRACTORS; EXTENSIBLE BEAM; WAVE-EQUATIONS; EXISTENCE; SPACE;
D O I：
10.3934/dcdsb.2018178
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider the long-time behavior of solutions for the plate equation with linear memory. Within the theory of process on time-dependent spaces, we investigate the existence of the time-dependent attractor by using the operator decomposition technique and compactness of translation theorem and more detailed estimates. Furthermore, the asymptotic structure of time-dependent attractor, which converges to the attractor of fourth order parabolic equation with memory, is proved. Besides, we obtain a further regular result.
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页码：4595 / 4616
页数：22
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