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
收藏
页码：3319 / 3336
页数：18
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