Mean curvature flow with multiplicity 2 convergence in ℝ3

Analysis & PDE 2026 Open access

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Authors: Jingwen Chen, Ao Sun
DOI: 10.2140/apde.2026.19.1029
Cited by: 0
References: 28

Abstract

We construct a new example of an immortal mean curvature flow of smooth embedded connected surfaces in ‫ޒ‬ 3 , which converges to a plane with multiplicity 2 as time approaches infinity.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Geometry and complex manifolds Mathematical Dynamics and Fractals

Publication details

Journal / source
Analysis & PDE
Volume
19
Issue
5
Pages
1029–1060
Publication date
21 May 2026
Language
EN