Showing math.APShow all
3 papers · 1 filter
math.AP2022
Bunching instability and asymptotic properties in epitaxial growth with elasticity effects: continuum model
Tao Luo, Yang Xiang, Nung Kwan Yip
We study the continuum epitaxial model for elastic interacting atomic steps on vicinal surfaces proposed by Xiang and E (Xiang, SIAM J. Appl. Math. 63:241-258, 2002; Xiang and E, P…
math.AP2021
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…
math.AP2017
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…