Interface Solutions of a Degenerate Cahn - Hilliard Equation
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چکیده
We present an analysis of the equilibrium diiusive interfaces in a model for the interaction of layers of pure polymers. The discussion focuses on the important qualitative features of the solutions of the nonlinear singular Cahn-Hilliard equation with degenerate mobility for the Flory-Huggins-de Gennes free energy model. The spatial structure of possible equilibrium phase separated solutions are found. Using phase plane analysis, we obtain heteroclinic and homoclinic degenerate weak compact-support solutions that are relevant to nite domain boundary value problems and localized impurities in innnite layers.
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تاریخ انتشار 2007