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Surface diffusion with triple junctions: A stability criterion for stationary solutions

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Garcke, Harald ; Ito, Kazuo ; Kohsaka, Yoshihito
Date of publication of this fulltext: 24 Mar 2010 06:46


We study a fourth order geometric evolution problem on a network of curves in a bounded domain . The flow decreases a weighted total length of the curves and preserves the enclosed volumes. Stationary solutions of the flow are critical points of a partition problem in . In this paper we study the linearized stability of stationary solutions using the H−1-gradient flow structure of the problem. ...


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