A mathematical analysis is performed for a system consisting of two coupled Cahn-Hilliard equations. These equations incorporate a diffusional mobility that depends on concentration. This modeling approach is often used to describe the process of phase separation in a thin layer of a binary liquid mixture covering a substrate, particularly when one of the components wets the substrate. The analysis establishes the existence of a weak formulation for this problem, which is supported by the use of a Lyapunov functional. Additionally, the analysis provides insights into the regularity properties of the weak formulation.
Al-Musawi, G., & Harfash, A. (2024). Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility. Journal of Mathematical Modeling, 12(1), 51-70. doi: 10.22124/jmm.2023.25558.2272
MLA
Ghufran A. Al-Musawi; Akil Jassim Harfash. "Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility". Journal of Mathematical Modeling, 12, 1, 2024, 51-70. doi: 10.22124/jmm.2023.25558.2272
HARVARD
Al-Musawi, G., Harfash, A. (2024). 'Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility', Journal of Mathematical Modeling, 12(1), pp. 51-70. doi: 10.22124/jmm.2023.25558.2272
VANCOUVER
Al-Musawi, G., Harfash, A. Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility. Journal of Mathematical Modeling, 2024; 12(1): 51-70. doi: 10.22124/jmm.2023.25558.2272
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