Limit study of an input stability problem on nanolayer

tarik boulahrouz; Mohammed  FILALI; Jamal  Messaho; Najib  TSOULI

doi:10.5269/bspm.65738

tarik boulahrouz Faculty of Sciences of Oujda, Mohamed First University, Oujda, Morocco https://orcid.org/0000-0002-2548-9485
Mohammed FILALI Laboratory of Applied Mathematics of the Oriental, Faculty of Sciences of Oujda, Mohamed First University, Oujda, Morocco. https://orcid.org/0000-0001-8605-0962
Jamal Messaho Laboratory of Applied Mathematics of the Oriental, Faculty of Sciences of Oujda, Mohamed First University, Oujda, Morocco.
Najib TSOULI Laboratory of Applied Mathematics of the Oriental, Faculty of Sciences of Oujda, Mohamed First University, Oujda, Morocco.

Résumé

This paper aims to discuss a stabilization problem for semilinear systems and to study the asymptotic behavior of a distributed system on an evolution domain,
in a containing structure, of a nanolayer. The epi-convergence method is considered to find the limit problem with interface conditions;
this approach studies the stability of the approximate problem associated with our initial problem. After that, we study the limit behavior.
The received results are tested numerically.

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