A 3D-2D ASYMPTOTIC ANALYSIS OF ELASTIC PROBLEM WITH NONLINEAR DISSIPATIVE AND SOURCE TERMS
- 12 April 2022
- journal article
- Published by Union of Researchers of Macedonia in Advances in Mathematics: Scientific Journal
- Vol. 11 (4), 301-319
- https://doi.org/10.37418/amsj.11.4.2
Abstract
In this paper, we consider the asymptotic analysis for the elasticity problem with a dissipative and source terms in a three dimensional thin domain $\Omega ^{\varepsilon }$. Firstly, we obtain the variational formulation of the problem. Then we establish some estimates independent of the parameter $\varepsilon$. Finally, we give a specific Reynolds equation associated and prove the uniqueness of the limit problem.