Limit resolvability of a quasi-linear system on a nanolayer through input stability analysis

Abstract

This paper aims to discuss a stabilization problem for quasi-linear systems and to study the asymptotic behavior of a distributed system on an evolution domain with a p-Laplace operator in a containing structure of a nanolayer. The epi-convergence method is considered to find the limit problem with interface conditions. This approach consists of studying the stability of the approximate problem associated with our initial problem, then studying the limit behavior in order to determine the stability of the limit problem. The obtained results are numerically tested.