Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation

Journal Article (Journal 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-deGennes 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. © 1998 Elsevier Science Ltd. AU rights reserved.

Full Text

Duke Authors

Cited Authors

  • Witelski, TP

Published Date

  • January 1, 1998

Published In

Volume / Issue

  • 11 / 5

Start / End Page

  • 127 - 133

International Standard Serial Number (ISSN)

  • 0893-9659

Digital Object Identifier (DOI)

  • 10.1016/S0893-9659(98)00092-5

Citation Source

  • Scopus