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Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact

URN to cite this document:
urn:nbn:de:bvb:355-epub-205098
DOI to cite this document:
10.5283/epub.20509
Depner, Daniel
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Date of publication of this fulltext: 18 Apr 2011 06:56


Abstract

The linearized stability of stationary solutions for surface diffusion is studied. We consider hypersurfaces that lie inside a fixed domain, touch its boundary with a right angle and fulfill a no-flux condition. We formulate the geometric evolution law as a partial differential equation with the help of a parametrization from Vogel [Vog00], which takes care of a possible curved boundary. For the ...

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