Research profile

Hongwei Gao

Works on mean curvature flow.

NP-RC-0713400000-0003-2766-589X

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Mean curvature flow

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  1. Inwon Kim

    1 joint worklatest 2018

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2018

math.APWider flowsarXiv:1809.09343

Head and tail speeds of mean curvature flow with forcing

Hongwei Gao, Inwon Kim

In this paper, we investigate the large time behavior of interfaces moving with motion law , where is positive, Lipschitz and -periodic. It turns out that the behavior of the interface can be characterized by its head and tail speed, which depends continuously on its overall direction of propagation . If head speed equals tail speed at a given direction , the interface has a unique large-scale speed in that direction. In general the interface develops linearly growing "long fingers" in the direction where the equality breaks down. We discuss these results in both general setting and in laminar setting, where further results are obtained due to regularity properties of the flow.

Mean curvature flow
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NP-RC-071340 is Hongwei Gao's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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