On the effective interfacial resistance through quasi-filling fractal layers
This paper concerns the periodic homogenization of the stationary heat equation in a domain with two connected components, separated by an oscillating interface defined on prefractal Koch type curves. The problem depends both on the parameter ? that defines the periodic structure of the interface and on n, which is the index of the prefractal iteration. First, we study the limit as ? vanishes, showing that the homogenized problem is strictly dependent on the amplitude of the oscillations and the parameter appearing in the transmission condition.