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Towards a variational theory of phase transitions involving curvature
Proceedings of the Royal Society of Edinburgh. Section A Mathematics
An anisotropic area functional is often used as a model for the free energy of a crystal surface. For models of faceting, the anisotropy is typically such that the functional becomes non-convex, and then it may be appropriate to regularize it with an additional term involving curvature. When the weight of the curvature term tends to zero, this gives rise to a singular perturbation problem.The structure of this problem is comparable to the theory of phase transitions studied first by Modica anddoi:10.1017/s0308210510000995 fatcat:srmoivmhmjhibhss6lhsw6bciu