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arXiv 0706.3299math.APmath.DG
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曲缩短流松弛三次流的向量值抛物Allen-Cahn方程

Relaxation of the flow of triods by Curve Shortening Flow via the vector-valued parabolic Allen-Cahn equation

Mariel Saez Trumper

摘要:

本文给出了一类向量值抛物型Allen-Cahn方程的解$u_ε$,该方程以$ε\to 0$为界面,在曲线缩短流下演化为给定的三角形.

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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