Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility
Publish place: Journal of Mathematical Modeling، Vol: 12، Issue: 1
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-12-1_004
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
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.
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Authors
Ghufran Al-Musawi
Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq
Akil Harfash
Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq