University of Guilan Journal of Mathematical Modeling 2345-394X 12 1 2024 03 01 Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility 51 70 7260 10.22124/jmm.2023.25558.2272 EN Ghufran A. Al-Musawi Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq Akil Jassim Harfash Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq Journal Article 2023 09 15 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. https://jmm.guilan.ac.ir/article_7260_4fe3fd7d7504363e428bea9bbc71f036.pdf