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A stability result for a network of two triple junctions on the plane
Author(s) -
Boutarfa Bariza,
Dassios Ioannis K.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3767
Subject(s) - bounded function , mathematics , boundary (topology) , domain (mathematical analysis) , planar , stability (learning theory) , plane (geometry) , boundary value problem , mathematical analysis , geometry , topology (electrical circuits) , combinatorics , computer science , computer graphics (images) , machine learning
In this article, we study the problem of a bounded network of two triple junctions in a planar domain with fixed angle conditions at the junctions and at the points at which the curves intersect with the boundary. We introduce the evolution problem of this type of networks, identify the steady states, and study their stability in terms of the geometry of the boundary. Copyright © 2016 John Wiley & Sons, Ltd.