Sign in
Back
Source term model for elasticity system with nonlinear dissipative term in a thin domain
Journal article   Open access  Peer reviewed

Source term model for elasticity system with nonlinear dissipative term in a thin domain

Mohamed Dilmi, Mourad Dilmi, Salah Boulaaras and Hamid Benseridi
Demonstratio mathematica, Vol.55(1), pp.437-451
26/08/2022
DOI: https://doi.org/10.1515/dema-2022-0033

Abstract

35B40 35J85 35R35 49J40 76F10 78M35 asymptotic behavior dissipative term source term Tresca friction law weak solution
This article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works. We consider the limit when the thickness tends to zero, and we prove that the limit solution is a solution of a two-dimensional boundary value problem with lower Tresca’s free-boundary conditions. Moreover, we obtain the weak Reynolds-type equation.
url
https://doi.org/10.1515/dema-2022-0033View
Published (Version of record) Open

Metrics

1 Record Views

Details