English

Polynomial energy decay rate of a 2D Piezoelectric beam with magnetic effect on a rectangular domain without geometric conditions

Analysis of PDEs 2022-08-26 v1

Abstract

In this paper, we investigate the stability of coupled equations modelling a 2D piezoelectric beam with magnetic effect with only one local viscous damping on a rectangular domain without geometric conditions. We prove that the energy of the system decays polynomially with the rate 1/t .

Keywords

Cite

@article{arxiv.2208.12012,
  title  = {Polynomial energy decay rate of a 2D Piezoelectric beam with magnetic effect on a rectangular domain without geometric conditions},
  author = {Mohammad Akil and Virginie Régnier},
  journal= {arXiv preprint arXiv:2208.12012},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2204.00283