Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 59, pp. 1-22.

Title: T-coercivity for the asymptotic analysis of scalar problems with sign-changing
       coefficients in thin periodic domains
       
Authors: Renata Bunoiu (Univ. de Lorraine, France)
         Karim Ramdani (Univ. de Lorraine, France)
         Claudia Timofte (Univ. of Bucharest, Romania)

Abstract: 
 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.