Depner, Daniel and Garcke, Harald (2011) Linearized stability analysis of surface diffusion for hypersurfaces with triple lines. Preprintreihe der Fakultät Mathematik 15/2011, Working Paper. (Unpublished)
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Abstract
The linearized stability of stationary solutions for surface diffusion is studied. We consider three hypersurfaces that lie inside a fixed domain and touch its boundary with a right angle and fulfill a non-flux condition. Additionally they meet at a triple line with prescribed angle conditions and further boundary conditions resulting from the continuity of chemical potentials and a flux balance ...

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Item type: | Monograph (Working Paper) | ||||||||||||
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Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||
Date: | 2011 | ||||||||||||
Institutions: | Mathematics > Prof. Dr. Harald Garcke | ||||||||||||
Classification: |
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Keywords: | surface diffusion, partial differential equations on manifolds, linearized stability, gradient flow, triple lines | ||||||||||||
Dewey Decimal Classification: | 500 Science > 510 Mathematics | ||||||||||||
Status: | Unpublished | ||||||||||||
Refereed: | No, this version has not been refereed yet (as with preprints) | ||||||||||||
Created at the University of Regensburg: | Yes | ||||||||||||
Item ID: | 20518 |