4 papers
Stability of Self-similar Solutions to Geometric Flows
Hengrong Du, Nung Kwan Yip
We show that self-similar solutions for the mean curvature flow, surface diffusion and Willmore flow of entire graphs are stable upon perturbations of initial data with small Lipsc…
Energy Scaling and Asymptotic Properties of One-Dimensional Discrete System with Generalized Lennard--Jones Interaction
Tao Luo, Yang Xiang, Nung Kwan Yip
It is well known that elastic effects can cause surface instability. In this paper, we analyze a one-dimensional discrete system which can reveal pattern formation mechanism resemb…
Infinite server queues in a random fast oscillatory environment
Harsha Honnappa, Yiran Liu, Samy Tindel +1
In this paper, we consider a infinite server queueing model in a random environment. More specifically, the arrival rate in our server is modeled as a highly fluct…
Convergence of Diffusion Generated Motion to Motion by Mean Curvature
Drew Swartz, Nung Kwan Yip
We provide a new proof of convergence to motion by mean curvature (MMC) for the Merriman-Bence-Osher (MBO) thresholding algorithm. The proof is elementary and does not rely on maxi…