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Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility | ||
| Journal of Mathematical Modeling | ||
| دوره 12، شماره 1، خرداد 2024، صفحه 51-70 اصل مقاله (212.06 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.25558.2272 | ||
| نویسندگان | ||
| Ghufran A. Al-Musawi؛ Akil Jassim Harfash* | ||
| Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| existence؛ Faedo-Galerkin؛ Cahn-Hilliard؛ weak formulation؛ strong solution | ||
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آمار تعداد مشاهده مقاله: 141 تعداد دریافت فایل اصل مقاله: 163 |
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