5 papers
Migration of gold atoms into a thiol-bonded molecular self-assembled monolayer, forming a cluster exhibiting a Coulomb staircase
Bingxin Li, Shanglong Ning, Chunyang Miao +16
Thiol-based self-assembled monolayers (SAMs) on gold surfaces are one of the fundamental building blocks of molecular electronics. The strong chemical affinity of the gold and sulf…
Mass of -asymptotically hyperbolic spaces via the normalized Ricci-DeTurck flow
Yuqiao Li
We define a mass function on asymptotically hyperbolic manifolds with continuous metrics via the normalized Ricci DeTurck flow. This definition coincides with the classical mass fo…
Stability of volume and area preserving mean curvature flow in asymptotic Schwarzschild space
Yaoting Gui, Yuqiao Li, Jun Sun
In this paper, we investigate the stability of the volume preserving mean curvature flow (VPMCF) and area preserving mean curvature flow (APMCF) in the Schwarzschild space. We show…
Constant Harmonic Mean Curvature Foliation in Asymptotic Schwarzschild Spaces-II
Yaoting Gui, Yuqiao Li, Jun Sun
This paper extends the results of [GLS24], where the existence of a constant harmonic mean curvature foliation was established in the setting of a 3-dimensional asymptotically Schw…
Foliation of constant harmonic mean curvature surfaces in asymptotic Schwarzschild spaces
Yaoting Gui, Yuqiao Li, Jun Sun
This paper investigates the volume-preserving harmonic mean curvature flow in asymptotically Schwarzschild spaces. We demonstrate the long-time existence and exponential convergenc…