MORE HOMOGENIZATION PROBLEMS
Andrea Braides · Oxford University Press eBooks · 2002
This chapter describes the interaction between homogenization and surface terms using three examples. It shows that in some regimes, there is a separation of scales, while in other regimes the two phenomena must be considered together. The first example deals with the interaction between oscillations and phase transitions in producing surface terms. The second exhibits a different scaling of the same problem giving a limit energy finite on piecewise-Sobolev functions through phase accumulation. The third example deals with the homogenization of free-discontinuity problems.