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

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  • معلومة اضافية
    • Contributors:
      Institut Élie Cartan de Lorraine (IECL); Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS); Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization (SPHINX); Inria Nancy - Grand Est; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria); University of Bucharest, Faculty of Physics; University of Bucharest (UniBuc); The last author wishes to thank Institut Elie Cartan de Lorraine and Université de Lorraine for the financial support and the warm hospitality.
    • بيانات النشر:
      HAL CCSD
      International Press
    • الموضوع:
      2023
    • Collection:
      Université de Lorraine: HAL
    • نبذة مختصرة :
      International audience ; 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.
    • Relation:
      hal-03712444; https://inria.hal.science/hal-03712444; https://inria.hal.science/hal-03712444v3/document; https://inria.hal.science/hal-03712444v3/file/BRT-fluxjump-final-HAL.pdf
    • الرقم المعرف:
      10.4310/CMS.2023.v21.n7.a13
    • Rights:
      http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.388DEAC3