English

Quasistatic limit of a dynamic viscoelastic model with memory

Analysis of PDEs 2021-06-28 v2

Abstract

We study the behaviour of the solutions to a dynamic evolution problem for a viscoelastic model with long memory, when the rate of change of the data tends to zero. We prove that a suitably rescaled version of the solutions converges to the solution of the corresponding stationary problem.

Keywords

Cite

@article{arxiv.2106.03543,
  title  = {Quasistatic limit of a dynamic viscoelastic model with memory},
  author = {Gianni Dal Maso and Francesco Sapio},
  journal= {arXiv preprint arXiv:2106.03543},
  year   = {2021}
}