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

Garcke, Harald and Ito, Kazuo and Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), pp. 437-472.

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Abstract

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 ...

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Item Type:Article
Date:2010
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
35B35MSC
35G30MSC
35K55MSC
35R35MSC
53C44MSC
Keywords:fourth order geometric evolution problem, surface diffusion, network of curves, linearized stability, Poincar´e inequality on a network, H−1-gradient flow
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Partially
Owner: Eva Ruetz
Deposited On:24 Mar 2010 06:46
Last Modified:13 Mar 2014 13:10
Item ID:13768
Owner Only: item control page

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