2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132266In 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 figuresAnalysis of PDEsDifferential Geometry35K65, 53C44Relaxation of the flow of triods by Curve Shortening Flow via the vector-valued parabolic Allen-Cahn equationtext