Asymptotic analysis of a sign-changing transmission problem with rapidly oscillating interface - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Electronic Journal of Differential Equations Année : 2024

Asymptotic analysis of a sign-changing transmission problem with rapidly oscillating interface

Résumé

We study the asymptotic behavior of a sign-changing transmission problem, stated in a symmetric oscillating domain obtained by gluing together a positive and a negative material, separated by an imperfect and rapidly oscillating interface. The interface separating the two heterogeneous materials has a periodic microstructure and is a small perturbation of a flat interface. The solution of the transmision problem is continuous and its flux has a jump on the oscillating interface. Under certain conditions on the properties of the two materials, we derive the limit problem and we prove the convergence result. The T-coercivity method is used to handle the lack of coercivity for both the microscopic and the macroscopic limit problems.
Fichier principal
Vignette du fichier
EJDE_FINAL.pdf (425.83 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04692956 , version 1 (10-09-2024)
hal-04692956 , version 2 (14-10-2024)

Licence

Identifiants

  • HAL Id : hal-04692956 , version 2

Citer

Renata Bunoiu, Karim Ramdani, Claudia Timofte. Asymptotic analysis of a sign-changing transmission problem with rapidly oscillating interface. Electronic Journal of Differential Equations, 2024, 2024 (60), pp.1-18. ⟨hal-04692956v2⟩
95 Consultations
32 Téléchargements

Partager

More