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Mathematics in Engineering
Article . 2022 . Peer-reviewed
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Mathematics in Engineering
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Mathematics in Engineering
Article . 2022
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https://dx.doi.org/10.48550/ar...
Article . 2020
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Convergence for global curve diffusion flows

Authors: Glen Wheeler;

Convergence for global curve diffusion flows

Abstract

In this note we establish exponentially fast smooth convergence for global curve diffusion flows, and discuss open problems relating embeddedness to global existence (Giga's conjecture) and the shape of Type I singularities (Chou's conjecture).

11 pages

Related Organizations
Keywords

global existence, Mathematics - Differential Geometry, T57-57.97, convergence, Applied mathematics. Quantitative methods, surface diffusion, 53C44, geometric analysis, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), curvature, partial differential equation, FOS: Mathematics, curve diffusion, Analysis of PDEs (math.AP)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green
gold