A New Look at Equilibria in Stefan-Type Problems in the Plane
نویسندگان
چکیده
We study steady states of Stefan-type problems in the plane with the Gibbs-Thomson correction involving general anisotropic energy density function. By a local analysis we prove the global result showing that the solution is the Wulff shape. The key element is a stability result which enables us to approximate singular models by regulars ones. keywords: Stefan-type problems, singular interfacial energies, Wulff shape, constant weighted mean curvature, steady states, monotone operators AMS subject classification: 53C21 (74E15) Abbreviated title: Equilibria in Stefan type problems in the plane
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 39 شماره
صفحات -
تاریخ انتشار 2007