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

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.

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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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Item Type:Article
Date:2010
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65M60MSC
65M12MSC
35K55MSC
53C44MSC
74E10MSC
74E15MSC
UNSPECIFIEDMSC
Keywords:surface clusters, mean curvature flow, surface diffusion, soap bubbles, triple junction lines, parametric finite elements, anisotropy, tangential movement
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Partially
Owner: Eva Ruetz
Deposited On:23 Mar 2010 08:28
Last Modified:13 Mar 2014 13:10
Item ID:13761
Owner Only: item control page

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