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

Harald GarckeKazuo ItoYoshihito Kohsaka — 2009

Banach Center Publications

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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