Abstract
To overcome the backward parabolic behavior of geometric evolution laws based on non-convex interfacial energies a corner energy regularization is used. Anisotropic mean curvature flow and surface diffusion are addressed with such a regularization term in one space dimension. The resulting problems are fourth, respectively sixth order. A long-wave approximation is performed for both equations resulting in the Cahn–Hilliard equation for the fourth-order problem and a higher order Cahn–Hilliard equation for the sixth-order problem.
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