Variational and asymptotic of frictional contact problem for a general operator with friction law in thin domain

Abstract

In this Master's memory, our objective lies on the variational and asymptotic analysis of a nonlinear boundary problem, which theoretically generalizes the Lamé system in a thin 3D domain with friction and generalized boundary condition. To achieve this goal, we first focus on the theoretical study of the weak solution of the presented problem. We then examine the asymptotic behavior as the small parameter ζ approaches zero. Finally, we show different a priori estimates, which will allow us to prove that the problem considered converges in the plan towards a new well-defined problem.