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Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation

✍ Scribed by T.P. Witelski

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
421 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

Communicated by B. J. Matkowsky

Abstract--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. ~

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