Abstract
A matched asymptotic analysis is used to show that, under certain constitutive hypotheses and a particular scaling, a recently developed phase-field theory corresponds to a sharp-interface theory for crystal growth that accounts for orientation dependence in the crystalline surface energy density as well as orientation and surface normal velocity dependence in the crystalline surface mobility.
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Fried, E. Correspondence between a phase-field theory and a sharp-interface theory for crystal growth. Continuum Mech. Thermodyn 9, 33–60 (1997). https://doi.org/10.1007/s001610050054
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DOI: https://doi.org/10.1007/s001610050054