Journal of Elliptic and Parabolic Equations
Asymptotic behavior of a nonlinear viscoelastic problems with Tresca friction law in a thin domain
Mohamed Dilmi
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1
LAMDA-RO Laboratory, Department of Mathematics, University of Blida 1, Blida, Algeria
Publication type: Journal Article
Publication date: 2024-11-27
scimago Q2
SJR: 0.482
CiteScore: 1.3
Impact factor: 0.9
ISSN: 22969020, 22969039
Abstract
In this paper, we consider a nonlinear mathematical model which describes the deformation of a viscous body in a three-dimensional thin domain with the presence of Tresca’s friction law. We examine the asymptotic behavior of the weak solutions when one dimension of the domain tends to zero. The two-dimensional limit problem has been justified. The uniqueness result of the displacement and the limit form of the Tresca boundary conditions are obtained.
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