Research profile

Zhe Zhou

Works on harmonic maps & DeTurck trick, inverse mean curvature flow and other curvature flows.

NP-RC-707881

4
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2
co-authors
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Harmonic maps & DeTurck trickInverse mean curvature flowOther curvature flowsMean curvature flow

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  1. Chuan-Xi Wu

    1 joint worklatest 2017

  2. Jing Mao

    1 joint worklatest 2017

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Papers

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.

2017

math.DGWider flowsv2arXiv:1710.01242

Hyperbolic inverse mean curvature flow

Zhe Zhou, Chuan-Xi Wu, Jing Mao

In this paper, we prove the short-time existence of hyperbolic inverse (mean) curvature flow (with or without the specified forcing term) under the assumption that the initial compact smooth hypersurface of () is mean convex and star-shaped. Several interesting examples and some hyperbolic evolution equations for geometric quantities of the evolving hypersurfaces have been shown. Besides, under different assumptions for the initial velocity, we can get the expansion and the convergence results of a hyperbolic inverse mean curvature flow in the plane , whose evolving curves move normally.

Mean curvature flowOther curvature flowsInverse mean curvature flowHarmonic maps & DeTurck trick
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NP-RC-707881 is Zhe Zhou'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.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.