On the Surface Diffusion Flow with Triple Junctions in Higher Space Dimensions
作者： H. Garcke , M. Gößwein
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摘要: We show short time existence for the evolution of triple junction clusters driven by surface diffusion flow. On line we use boundary conditions derived Garcke and Novick-Cohen as singular limit a Cahn-Hilliard equation with degenerated mobility. These are concurrency junction, angle between hypersurfaces, continuity chemical potentials flux-balance. For analysis first write geometric problem over fixed reference then resulting analytic an approach in parabolic Holder setting.
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