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Asymptotic behavior of Navier-Stokes-Voigt equations in a thin domain with damping term and Tresca friction law
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  • Mokhtar Kirane,
  • Mohamed Dilmi,
  • Mourad Dilmi,
  • Hamid Benseridi
Mokhtar Kirane
Khalifa University
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Mohamed Dilmi
Universite Saad Dahlab Blida Faculte des Sciences

Corresponding Author:mohamed77dilmi@gmail.com

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Mourad Dilmi
Universite Ferhat Abbas Setif 1 Faculte des Sciences
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Hamid Benseridi
Universite Ferhat Abbas Setif 1 Faculte des Sciences
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Abstract

In this work, we consider a mathematical model of viscoelastic incompressible fluid governed by the Navier-Stokes-Voigt equations in a three dimensional thin domain Ω ε , with damping term and Tresca friction law. First, we give the problem statement and the weak variational formulation of the considered problem. Then we study the asymptotic analysis of the problem when a dimension of the domain tends to zero. The limit problem and the specific equation of Reynolds are obtained.