Abstract
This paper examines the asymptotic behavior of solutions of the three dimensional viscoelastic problem with long-term memory and Tresca friction law in a thin domain . We study the asymptotic behavior of this problem when the thickness tends to zero and we prove a convergence theorem for the displacement and velocity in appropriate functional spaces. Besides, the limit problem with the limit of Tresca free boundary conditions and a specific Reynolds limit equation is obtained.
Citation
Mohamed Dilmi. Aissa Benseghir. Mourad Dilmi. Hamid Benseridi. "Asymptotic behavior of a viscoelastic problem with long-term memory and Tresca friction law." Hiroshima Math. J. 54 (2) 133 - 155, July 2024. https://doi.org/10.32917/h2022020
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