T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains
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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.
CitationBunoiu, R., Ramdani, K., & Timofte, C. (2021). T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains. Electronic Journal of Differential Equations, 2021(59), pp. 1-22.
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