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Pré-Publication, Document De Travail Année : 2022

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.
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Dates et versions

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

Identifiants

  • HAL Id : hal-03712444 , version 1

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Renata Bunoiu, Karim Ramdani, Claudia Timofte. Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump. 2022. ⟨hal-03712444v1⟩
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