Abstract
We compare four surface motion laws for sharp surfaces with their diffuse interface counterparts by means of gradient flows on corresponding energy functionals. The energy functionals can be defined to give the same dependence on normal direction for the energy of sharp plane surfaces as for their diffuse counterparts. The anisotropy of the kinetics can be incorporated into the inner product without affecting the energy functional.
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Taylor, J.E., Cahn, J.W. Linking anisotropic sharp and diffuse surface motion laws via gradient flows. J Stat Phys 77, 183–197 (1994). https://doi.org/10.1007/BF02186838
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DOI: https://doi.org/10.1007/BF02186838