Homogenization of an alternating Robin–Neumann boundary condition via time-periodic unfolding. (April 2017)

• Record Type: Journal Article
• Authors: Amar, Micol; Andreucci, Daniele; Bellaveglia, Dario
• Is Part Of: Nonlinear analysis. Volume 153(2017)
• Page Start: 56
• Page End: 77
• Publication Date: 2017-04
• Subjects: 35B27 -- 35Q79; Homogenization -- Unfolding technique -- Parabolic equations; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.05.018
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the homogenization of a parabolic problem in a perforated domain with Robin–Neumann boundary conditions oscillating in time. Such oscillations must compensate the blow up of the boundary measure of the holes. We use the technique of time-periodic unfolding in order to obtain a macroscopic parabolic problem containing an extra linear term due to the absorption determined by the Robin condition.