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Stability analysis of phase boundary motion by surface diffusion with triple junction

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2009) Stability analysis of phase boundary motion by surface diffusion with triple junction. Banach Center Publications 86, pp. 83-101.

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Abstract

The linearized stability of stationary solutions for the surface diffusion flow with
a triple junction is studied. We derive the second variation of the energy functional under the
constraint that the enclosed areas are preserved and show a linearized stability criterion with the
help of the H−1-gradient flow structure of the evolution problem and the analysis of eigenvalues
of a corresponding differential operator.


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Item Type:Article
Date:2009
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
35G30MSC
35B35MSC
Keywords:surface diffusion, triple junction, linearized stability
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Partially
Deposited On:24 Mar 2010 06:23
Last Modified:13 Mar 2014 13:11
Item ID:13804
Owner Only: item control page

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