Electron. J. Differential Equations, Vol. 2021 (2021), No. 59, pp. 1-22.

T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains

Renata Bunoiu, Karim Ramdani, Claudia Timofte

We study a scalar problem in thin periodic composite media formed by two materials, a classical one and a metamaterial (also known as negative material). By applying T-coercivity methods and homogenization techniques specific to the thin periodic domains under consideration, for two geometric settings, we derive the homogenized limit problems, which both exhibit dimension-reduction effects.

Submitted October 29, 2020. Published June 26, 2021.
Math Subject Classifications: 35B27, 78M40, 35Q60, 35J20.
Key Words: Sign-changing coefficients; T-coercivity; thin domains; asymptotic analysis.
DOI: https://doi.org/10.58997/ejde.2021.59

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Renata Bunoiu
Université de Lorraine
CNRS, IECL, F-57000 Metz, France
email: renata.bunoiu@univ-lorraine.fr
Karim Ramdani
Université de Lorraine
CNRS, INRIA, IECL, F-54000 Nancy, France
email: karim.ramdani@inria.fr
Claudia Timofte
University of Bucharest
Faculty of Physics
Bucharest-Magurele, P.O. Box MG-11, Romania
email: claudia.timofte@g.unibuc.ro

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