22 citations · 202 across the 36 of their papers we have counts for
4 papers · 2 filters
Mathematical validation of the Peierls--Nabarro model for edge dislocations
Yuan Gao, Jian-Guo Liu, Tao Luo +1
In this paper, we perform mathematical validation of the Peierls--Nabarro (PN) models, which are multiscale models of dislocations that incorporate the detailed dislocation core st…
Long time behavior of dynamic solution to Peierls--Nabarro dislocation model
Yuan Gao, Jian-Guo Liu
In this paper we study the relaxation process of Peierls-Nabarro dislocation model, which is a gradient flow with singular nonlocal energy and double well potential describing how…
Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects
Yuan Gao, Jian-Guo Liu, Jianfeng Lu +1
We study a th order PDE with a nd order correction that is a modification of one suggested by Peter Smereka using the tools of Krug et al (Z. Phys. B., 1994). First, we provi…
Global Strong Solution With BV Derivatives to Singular Solid-on-Solid model With Exponential Nonlinearity
Yuan Gao
In this work, we consider the one dimensional very singular fourth-order equation for solid-on-solid model in attachment-detachment-limit regime with exponential nonlinearity $$h_t…