%0 Journal Article
%T Study of a dynamic viscoelastic problems with short memory
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Derguine, Mustafa
%A Saadallah, Abdelkader
%A Benseridi, Hamid
%D 2023
%\ 01/01/2023
%V 14
%N 1
%P 1911-1923
%! Study of a dynamic viscoelastic problems with short memory
%K asymptotic approach
%K boundary value problem
%K displacement field
%K Reynolds equation
%K short memory
%R 10.22075/ijnaa.2022.27280.3547
%X 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.
%U https://ijnaa.semnan.ac.ir/article_7180_5efc35c64c378b91a0a1f04f4bfd546f.pdf