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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
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…