@Article{IJNAM-22-745,
author = {Dai , ShibinRamadan , Abba and Renzi , Joseph},
title = {Force Convergence for the de Gennes-Cahn-Hilliard Energy },
journal = {International Journal of Numerical Analysis and Modeling},
year = {2025},
volume = {22},
number = {5},
pages = {745--754},
abstract = {<p style="text-align: justify;">The degenerate de Gennes-Cahn-Hilliard (dGCH) equation is a recent phase field
model that may more accurately approximate surface diffusion. After establishing the Gamma
convergence of the dGCH energy in [10], in this paper, we study the convergence of boundary force.
This is done by carefully crafting a nonlinear transformation that transforms the dGCH energy
into a Cahn-Hilliard-type energy with a non-smooth potential. We carry out explicit computations
and analysis to this new system, which in turn enables us to establish the convergence of boundary
force for the dGCH energy.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2025-1032},
url = {http://global-sci.org/intro/article_detail/ijnam/24084.html}
}