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Licensed Unlicensed Requires Authentication Published by De Gruyter July 6, 2009

Relaxation of the flow of triods by curve shortening flow via the vector-valued parabolic Allen-Cahn equation

Mariel Sáez-Trumper
From the journal

Abstract

In this paper we find solutions uε to a certain class of vector-valued parabolic Allen-Cahn equations that as ε → 0 develops as interface a given triod evolving under curve shortening flow.

Received: 2007-06-25
Revised: 2008-05-29
Published Online: 2009-07-06
Published in Print: 2009-September

© Walter de Gruyter Berlin · New York 2009