Study of a dynamic viscoelastic problems with short memory

Document Type : Research Paper


Applied Mathematical Laboratory (lama), Faculty of Sciences, University of Setif 1 El Bez Setif 19000, Algeria


his paper is devoted to the study of the asymptotic behavior of a viscoelastic problem with short memory in a three-dimensional thin domain  $\Omega^\varepsilon$. We prove some convergence results when the thickness tends to zero. The contact is modeled with the Tresca friction law. We derive a variational formulation of the problem and prove its unique weak solution. Then we prove some convergence results when the small parameter $\varepsilon$ tends to zero. Finally, the specific Reynolds limit equation and the limit of Tresca-free boundary conditions are obtained.


Volume 14, Issue 1
January 2023
Pages 1911-1923
  • Receive Date: 24 May 2022
  • Revise Date: 10 November 2022
  • Accept Date: 27 November 2022