Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation Original Research Article

We present an analysis of the equilibrium diffusive 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 finite domain boundary value problems and localized impurities in infinite layers.