Duke Applied Mathematics

Publications [#244206] of Thomas P. Witelski

Papers Published

1. Witelski, TP, Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation, Applied Mathematics Letters, vol. 11 no. 5 (January, 1998), pp. 127-133, Elsevier BV [doi]
   (last updated on 2026/01/19)

   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-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.