Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings
Analysis of PDEs
2022-04-01 v1 Dynamical Systems
Abstract
This paper is concerned with the long-time dynamical behavior of a piezoelectric system with magnetic effect, which has nonlinear damping terms and external forces with a parameter. At first, we use the nonlinear semigroup theory to prove the well-posedness of solutions. Then, we investigate the properties of global attractors and the existence of exponential attractors. Finally, the upper semicontinuity of global attractors has been investigated.
Cite
@article{arxiv.2203.16736,
title = {Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings},
author = {Gongwei Liu and Mengru Wang and Pengyan Ding},
journal= {arXiv preprint arXiv:2203.16736},
year = {2022}
}