Homogenization of a non-periodic oscillating boundary via periodic unfolding
S. Aiyappan, Kaj B. Pettersson, Abu Sufian · Differential Equations & Applications · 2022
This paper deals with the homogenization of an elliptic model problem in a twodimensional domain with non-periodic oscillating boundary by the method of periodic unfolding. For the non-periodic oscillations, a modulated unfolding is used. The L 2 convergence of the solutions and their fluxes are shown, under natural hypotheses on the domain.