Homogenization of oscillating boundaries
Alain Damlamian, Klas Pettersson · Discrete and Continuous Dynamical Systems · 2008
A variational problem on a sequence of 2-dimensional domains with oscillating boundaries is studied. Using the periodic unfolding method, the homogenized problem is obtained in the limit as the period length approaches zero. Several extensions are also given. In this framework, a result of strong convergence is obtained which is new.