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

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Garcke, Harald ; Ito, Kazuo ; Kohsaka, Yoshihito
Date of publication of this fulltext: 24 Mar 2010 06:23


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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