Renata Bunoiu, Karim Ramdani, Claudia Timofte
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.
DOI: https://doi.org/10.58997/ejde.2021.59
Show me the PDF file (828 KB), TEX file for this article.
 |
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 |
Return to the EJDE web page