Year: 2025
Author: Shibin Dai, Abba Ramadan, Joseph Renzi
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 5 : pp. 745–754
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2025-1032
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 5 : pp. 745–754
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: de Gennes-Cahn-Hilliard energy Gamma convergence force convergence.