Abstract
We consider some free boundary problems involving motion by mean curvature and a nonlocal term. They arise as singular limits of various phase transition models. Using precise regularity estimates in Hölder spaces, we prove that these problems are well-posed. We study the qualitative behavior of the motion law and show in particular that the inclusion of interfaces is not preserved in time.
Citation
A. Bonami. D. Hilhorst. E. Logak. "Modified motion by mean curvature: local existence and uniqueness and qualitative properties." Differential Integral Equations 13 (10-12) 1371 - 1392, 2000. https://doi.org/10.57262/die/1356061130
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