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.
Homogenization of an alternating Robin–Neumann boundary condition via time-periodic unfolding / Amar, Micol; Andreucci, Daniele; Bellaveglia, Dario. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 153:(2017), pp. 56-77. [dx.doi.org/10.1016/j.na.2016.05.018]
Homogenization of an alternating Robin–Neumann boundary condition via time-periodic unfolding
AMAR, Micol
;ANDREUCCI, Daniele;
2017
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.| File | Dimensione | Formato | |
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