Open AccessNon-autonomous weakly damped plate model on time-dependent domains
Author(s) -
Penghui Zhang,
Zhaosheng Feng,
Lu Yang
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021076
Subject(s) - attractor , nonlinear system , domain (mathematical analysis) , dynamics (music) , time domain , term (time) , mathematics , mathematical analysis , physics , statistical physics , computer science , acoustics , quantum mechanics , computer vision
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.