196 citations · 1.6k across the 143 of their papers we have counts for
4 papers · 2 filters
Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime
Yuan Gao, Jian-Guo Liu, Jianfeng Lu
We study in this work a continuum model derived from 1D attachment-detachment-limited (ADL) type step flow on vicinal surface, , where , considered as a f…
Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation
Shibin Dai, Bo Li, Jianfeng Lu
We study a phase-field variational model for the solvaiton of charged molecules with an implicit solvent. The solvation free-energy functional of all phase fields consists of the s…
Continuum limit of a mesoscopic model with elasticity of step motion on vicinal surfaces
Yuan Gao, Jian-Guo Liu, Jianfeng Lu
This work considers the rigorous derivation of continuum models of step motion starting from a mesoscopic Burton-Cabrera-Frank (BCF) type model following the work [Xiang, SIAM J. A…
Validity and regularization of classical half-space equations
Qin Li, Jianfeng Lu, Weiran Sun
Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the cor…