Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Communications in Mathematical Sciences Year : 2023

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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Dates and versions

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

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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⟩
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