Estimate of the attractive velocity of attractors for some dynamical systems
Dynamical Systems
2022-05-09 v4 Analysis of PDEs
Abstract
In this paper, we first prove an abstract theorem on the existence of polynomial attractors and the concrete estimate of their attractive velocity for infinite-dimensional dynamical systems, then apply this theorem to a class of wave equations with nonlocal weak damping and anti-damping in case that the nonlinear term~~is of subcritical growth.
Keywords
Cite
@article{arxiv.2108.07410,
title = {Estimate of the attractive velocity of attractors for some dynamical systems},
author = {Chunyan Zhao and Chengkui Zhong and Chunxiang Zhao},
journal= {arXiv preprint arXiv:2108.07410},
year = {2022}
}