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Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact

Depner, Daniel (2011) Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact. Preprintreihe der Fakultät Mathematik 7/2011, Working Paper. (Unpublished)

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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 linearized stability analysis we identify as in the work of Garcke, Ito and Kohsaka [GIK05] the problem as an H

Item Type:Monograph (Working Paper)
Institutions: Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
35G30MSC
35R35MSC
35B35MSC
Keywords:partial differential equations on manifolds, surface diffusion, linearized stability of stationary solutions, gradient flow
Subjects: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Status:Unpublished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
Owner:Universitätsbibliothek Regensburg
Deposited On:18 Apr 2011 08:56
Last Modified:21 Jul 2011 04:11
Item ID:20509
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