Relaxation of the flow of triods by Curve Shortening Flow via the vector-valued parabolic Allen-Cahn equation
Abstract
Description
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.
20 pages, 2 figures
20 pages, 2 figures