Longjie Zhang — Neckpinchhttps://neckpinch.com/authors/longjie-zhang/New arXiv papers by Longjie Zhang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT On obstacle problem for mean curvature flow with driving forcehttps://neckpinch.com/papers/1810.03456/arxiv:1810.03456Thu, 04 Oct 2018 00:00:00 GMTYoshikazu 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.Mean curvature flowRotational symmetry & warped products On mean curvature flow with driving force starting as singular initial hypersurfacehttps://neckpinch.com/papers/1712.09590/arxiv:1712.09590Wed, 27 Dec 2017 00:00:00 GMTRyunosuke 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.Mean curvature flowWeak & singular flows