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Mean curvature flow
with multiplicity $2$ convergence in $\mathbb{R}^3$
Jingwen Chen and Ao Sun |
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Vol. 19 (2026), No. 5, 1029–1060
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DOI: 10.2140/apde.2026.19.1029
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Abstract |
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We construct a new example of an immortal mean curvature flow of smooth embedded connected surfaces in , which converges to a plane with multiplicity as time approaches infinity. |
Keywords
mean curvature flow, convergence with higher multiplicity
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Mathematical Subject Classification
Primary: 53E10
Secondary: 35K61
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Milestones
Received: 11 July 2024
Revised: 1 April 2025
Accepted: 8 June 2025
Published: 21 May 2026
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Authors |
| Jingwen Chen | |
| Department of Mathematics University of Pennsylvania Philadelphia, PA United States |
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| Ao Sun | |
| Department of Mathematics Lehigh University Bethlehem, PA United States |
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| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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