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.
Derguine, M., Saadallah, A. & Benseridi, H. (2023). Study of a dynamic viscoelastic problems with short memory. International Journal of Nonlinear Analysis and Applications, 14(1), 1911–1923. https://doi.org/10.22075/ijnaa.2022.27280.3547
MLA
Derguine, M., Saadallah, A., & Benseridi, H. "Study of a dynamic viscoelastic problems with short memory", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1911–1923. doi: 10.22075/ijnaa.2022.27280.3547
HARVARD
Derguine, M., Saadallah, A., & Benseridi, H. (2023). 'Study of a dynamic viscoelastic problems with short memory', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1911–1923. doi: 10.22075/ijnaa.2022.27280.3547
CHICAGO
Derguine, M., Saadallah, A. & Benseridi, H., "Study of a dynamic viscoelastic problems with short memory." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1911–1923, doi: 10.22075/ijnaa.2022.27280.3547
VANCOUVER
Derguine M., Saadallah A., Benseridi H. Study of a dynamic viscoelastic problems with short memory. IJNAA. 2023;14(1):1911–1923. doi: 10.22075/ijnaa.2022.27280.3547
International Journal of Nonlinear Analysis and Applications