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A note on a phase-field model for anisotropic systems. (English) Zbl 1329.49021

Summary: We investigate, using the framework of \(\Gamma\)-convergence, a phase-field model proposed in [S. Torabi et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2105, 1337–1359 (2009; Zbl 1186.80014)] for strongly anisotropic systems; in particular, we prove a full \(\Gamma\)-convergence result for an anisotropic Modica-Mortola-type energy.

MSC:

49J45 Methods involving semicontinuity and convergence; relaxation
80A22 Stefan problems, phase changes, etc.

Citations:

Zbl 1186.80014
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References:

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