Research profile

Longjie Zhang

Works on rotational symmetry & warped products, weak & singular flows and mean curvature flow.

NP-RC-0667570000-0003-3052-5273

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3
co-authors
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Frequent co-authors of Longjie Zhang Longjie Zhang in the centre and 3 co-authors around them, closer for more joint papers on this site. Zhang Hung Vinh Tran: 1 joint workHTTran Yoshikazu Giga: 1 joint workYGGiga Ryunosuke Mori: 1 joint workRMMori
Closer to the centre: more joint work here. have also written together
  1. Hung Vinh Tran

    1 joint worklatest 2018

  2. Yoshikazu Giga

    1 joint worklatest 2018

  3. Ryunosuke Mori

    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.

2018

math.APWider flowsarXiv:1810.03456

On obstacle problem for mean curvature flow with driving force

Yoshikazu Giga, Hung V. Tran, Longjie Zhang

In this paper, we study an obstacle problem associated with the mean curvature flow with constant driving force. Our first main result concerns interior and boundary regularity of the solution. We then study in details the large time behavior of the solution and obtain the convergence result. In particular, we give full characterization of the limiting profiles in the radially symmetric setting.

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2017

math.DGWider flowsarXiv:1712.09590

On mean curvature flow with driving force starting as singular initial hypersurface

Ryunosuke Mori, Longjie Zhang

We consider an axisymmetric closed hypersurface evolving by its mean curvature with driving force under singular initial hypersurface. We study this problem by level set method. We give some criteria to judge whether the interface evolution is fattening or non-fattening.

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