English

Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping

Analysis of PDEs 2021-03-11 v3

Abstract

This paper concerns the well-posedness and uniform stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping. Existence of global weak solutions for this problem is established by using the Galerkin method. Meanwhile, under a clever use of the multiplier method, we estimate the total energy decay rate.

Keywords

Cite

@article{arxiv.2012.07109,
  title  = {Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping},
  author = {Akram Ben Aissa},
  journal= {arXiv preprint arXiv:2012.07109},
  year   = {2021}
}