41 citations · 229 across the 27 of their papers we have counts for
Showing 2021 · math.APShow all
2 papers · 2 filters
math.AP2021
Convergence from Atomistic Model to Peierls-Nabarro Model for Dislocations in Bilayer System with Complex Lattice
Yahong Yang, Tao Luo, Yang Xiang
In this paper, we prove the convergence from the atomistic model to the Peierls--Nabarro (PN) model of two-dimensional bilayer system with complex lattice. We show that the displac…
math.AP2021
Existence, uniqueness, and energy scaling of 2+1 dimensional continuum model for stepped epitaxial surfaces with elastic effects
Ganghua Fan, Tao Luo, Yang Xiang
We study the 2+1 dimensional continuum model for the evolution of stepped epitaxial surface under long-range elastic interaction proposed by Xu and Xiang (SIAM J. Appl. Math. 69, 1…