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Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies

URN to cite this document:
urn:nbn:de:bvb:355-epub-137616
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 23 Mar 2010 08:28


Abstract

We present a variational formulation for the evolution of surface clusters in R3 by mean curvature flow, surface diffusion and their anisotropic variants. We introduce the triple junction line conditions that are induced by the considered gradient flows, and present weak formulations of these flows. In addition, we consider the case where a subset of the boundaries of these clusters are ...

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