Asymptotic analysis of a sign-changing transmission problem with a rapidly oscillating interface - Equations aux dérivées partielles
Pré-Publication, Document De Travail Année : 2024

Asymptotic analysis of a sign-changing transmission problem with a 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.
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hal-04692956 , version 1 (10-09-2024)

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  • HAL Id : hal-04692956 , version 1

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Renata Bunoiu, Karim Ramdani, Claudia Timofte. Asymptotic analysis of a sign-changing transmission problem with a rapidly oscillating interface. 2024. ⟨hal-04692956⟩
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