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.

引用

页码：4595 / 4616

页数：22

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