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

Abstract : 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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https://hal.inria.fr/hal-03712444
Contributor : Karim Ramdani Connect in order to contact the contributor
Submitted on : Sunday, July 3, 2022 - 6:50:19 PM
Last modification on : Tuesday, July 5, 2022 - 3:24:27 AM

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  • 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-03712444⟩

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