10 citations · 43 across the 22 of their papers we have counts for
23 papers
Normal forms in a neighborhood of hyperbolic periodic orbits for flows in dimension 3
Alena Erchenko, Kurt Vinhage, Yun Yang
In a neighborhood of a hyperbolic periodic orbit of a volume-preserving flow on a manifold of dimension 3, we define and show the existence of a normal form for the generator of th…
Rescaled expansive measures for flows
Yun Yang
We introduce the notion of rescaled expansive measures to study a measure-theoretic formulation of rescaled expansiveness for flows, particularly in the presence of singularities.…
Geometric flows and space-periodic solitons on the light-cone
Yun Yang
This paper investigates curve flows on the light-cone in the 3-dimensional Minkowski space. We derive the Harnack inequality for the heat flow and present a detailed classification…
The dual Minkowski problem for unbounded closed convex sets
Wen Ai, Yunlong Yang, Deping Ye
The central focus of this paper is the dual Minkowski problem for -compatible sets, where is a pointed closed convex cone in with nonempty interior. Suc…
A volume preserving nonuniformly hyperbolic diffeomorphism with arbitrary number of ergodic components and close to the identity
Jianyu Chen, Huyi Hu, Yun Yang
We prove that for any $\ell\in\NN\cup\{\infty\}$ and any $r\in \NN$, every compact smooth Riemannian manifold $\cM$ of $\dim \cM\ge 5$ carries a volume preserving nonuni…
A nonlocal curve flow in centro-affine geometry
Xinjie Jiang, Yun Yang, Yanhua Yu
In this paper, the isoperimetric inequality in centro-affine plane geometry is obtained. We also investigate the long-term behavior of an invariant plane curve flow, whose evolutio…