Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Communications in Mathematical Sciences Année : 2023

Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump

Résumé

We study the homogenization of a scalar problem posed in a composite medium made up of two materials, a positive and a negative one. An important feature is the presence of a flux jump across their oscillating interface. The main difficulties of this study are due to the sign-changing coefficients and to the appearance of an unsigned surface integral term in the variational formulation. A proof by contradiction (nonstandard in this context) and T−coercivity technics are used in order to cope with these difficulties.
Fichier principal
Vignette du fichier
BRT-fluxjump-final-HAL.pdf (419.05 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03712444 , version 1 (03-07-2022)
hal-03712444 , version 2 (08-02-2023)
hal-03712444 , version 3 (11-10-2023)

Licence

Identifiants

Citer

Renata Bunoiu, Karim Ramdani, Claudia Timofte. Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump. Communications in Mathematical Sciences, 2023, 21 (7), pp.2029-2049. ⟨10.4310/CMS.2023.v21.n7.a13⟩. ⟨hal-03712444v3⟩
304 Consultations
201 Téléchargements

Altmetric

Partager

More