T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains
DOI:
https://doi.org/10.58997/ejde.2021.59Keywords:
Sign-changing coefficients; T-coercivity; thin domains; asymptotic analysisAbstract
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.
For more information see https://ejde.math.txstate.edu/Volumes/2021/59/abstr.html
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