NON-AUTONOMOUS WEAKLY DAMPED PLATE MODEL ON TIME-DEPENDENT DOMAINS

被引：0

作者：

Zhang, Penghui ^{[1
]}

Feng, Zhaosheng ^{[2
]}

Yang, Lu ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 09期

关键词：

non-cylindrical domain; non-autonomous system; pull-back attractor; critical exponent; Plate equation; FREE-BOUNDARY PROBLEM; WAVE-EQUATIONS; GLOBAL ATTRACTORS; CRITICAL EXPONENT; EXISTENCE; DYNAMICS; SYSTEM;

D O I：

10.3934/dcdss.2021076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with dynamics of the weakly damped plate equation on a time-dependent domain. Under the assumption that the domain is time-like and expanding, we obtain the existence of time-dependent attractors, where the nonlinear term has a critical growth.

引用

页码：3319 / 3336

页数：18

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