Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies. Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.
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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|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||surface clusters, mean curvature flow, surface diffusion, soap bubbles, triple junction lines, parametric finite elements, anisotropy, tangential movement|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Partially|
|Deposited On:||23 Mar 2010 08:28|
|Last Modified:||13 Mar 2014 13:10|