https://neckpinch.com/authors/chenyang-liu/New arXiv papers by Chenyang Liu, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2601.14659/arxiv:2601.14659Wed, 21 Jan 2026 00:00:00 GMTGuanghan Li, Chenyang Liu — In this paper, we study the long-time existence and asymptotic behavior of an anisotropic capillary Gauss curvature flow. By studying this flow and proving its convergence to a stationary solution, we establish a new existence result for the capillary Orlicz-Minkowski problem without the evenness assumption, and provide a flow approach to the existence of smooth solutions.Other curvature flowsGauss curvature flowFree boundary & capillaryLong-time existence & convergence https://neckpinch.com/papers/2109.02191/arxiv:2109.02191Mon, 06 Sep 2021 00:00:00 GMTYa Gao, Chenyang Liu, Jing Mao — In this paper, we consider the evolution of spacelike graphic curves defined over a piece of hyperbola 𝓗¹(1), of center at origin and radius 1, in the 2 dimensional Lorentz-Minkowski plane ℝ²₁ along an anisotropic inverse mean curvature flow with the vanishing Neumann boundary condition, and prove that this flow exists for all the time. Moreover, we can show that, after suitable rescaling, the evolving spacelike graphic curves converge smoothly to a piece of hyperbola of center at origin and prescribed radius, which actually corresponds to a constant function defined over the piece of 𝓗¹(1), as time tends to infinity.Mean curvature flowOther curvature flowsInverse mean curvature flowBoundaries & non-compactFree boundary & capillaryLong-time existence & convergencePhysics