https://neckpinch.com/authors/wei-zhao/New arXiv papers by Wei Zhao, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2002.04549/arxiv:2002.04549Tue, 11 Feb 2020 00:00:00 GMTLixia Yuan, Wei Zhao — We consider an anisotropic curvature flow V= A(n)H + B(n) in a band domain Ω:=[−1,1]× R, where n, V and H denote the unit normal vector, normal velocity and curvature, respectively, of a graphic curve Γₜ. We consider the case when A>0>B and the curve Γₜ contacts ∂_± Ω with slopes equaling to ± 1 times of its height (which are unbounded when the solution moves to infinity). First, we present the global well-posedness and then, under some symmetric assumptions on A and B, we show the uniform interior gradient estimates for the solution. Based on these estimates, we prove that Γₜ converges as t→ ∞ in C^(2,1)ₗoc ((−1,1)× R) topology to a cup-like traveling wave with {\it infinite} derivatives on the boundaries.Other curvature flowsAnisotropic & nonlocal flows