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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2009Publisher:Institute of Mathematics Polish Academy of SciencesJournal:Banach Center Publications

Authors: Garcke, Harald; Ito, Kazuo; Kohsaka, Yoshihito;

doi: 10.4064/bc86-0-5 , 10.5283/epub.13804

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

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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.

Related Organizations

University of Regensburg
Germany
Muroran Institute of Technology
Japan

Keywords

510 Mathematik, surface diffusion, triple junction, linearized stability, 35B35, 35G30

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