T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains
Date
2021-06-26
Authors
Bunoiu, Renata
Ramdani, Karim
Timofte, Claudia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Sign-changing coefficients, T-coercivity, Thin domains, Asymptotic analysis
Citation
Bunoiu, R., Ramdani, K., & Timofte, C. (2021). T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains. <i>Electronic Journal of Differential Equations, 2021</i>(59), pp. 1-22.
Rights
Attribution 4.0 International