English

Polynomial stability of thermoelastic Timoshenko system with non-global time-delayed Cattaneo's law

Analysis of PDEs 2023-08-08 v1

Abstract

In this paper, we consider a one dimensional thermoelastic Timoshenko system in which the heat flux is given by Cattaneo's law and acts locally on the bending moment with a time delay. We prove its well-posedness, strong stability, and polynomial stability.

Keywords

Cite

@article{arxiv.2308.02930,
  title  = {Polynomial stability of thermoelastic Timoshenko system with non-global time-delayed Cattaneo's law},
  author = {Haidar Badawi and Hawraa Alsayed},
  journal= {arXiv preprint arXiv:2308.02930},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2110.06619, arXiv:2012.08219