Dilmi Mourad
Ferhat Abbas Sétif 1 University, Algeria

In this paper, we consider the non linear problem in a stationary regime in a three dimensional thin domain $\Omega^{\epsilon}$. In the first step, we derive a variational formulation of the mechanical problem and prove the existence and uniqueness of the weak solution. We study the asymptotic analysis, in which the small parameter $\epsilon$ is the height of the domain used. Then the estimates for the displacement independent of the $\epsilon$, the limit of the weak problem and the specific Reynolds equation are obtained.