A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures

By I. Pawlow, W. Zaja̧czkowski. 2011

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An initial-boundary-value problem for the sixth order Cahn-Hilliard type equation in 3-D is studied. The problem describes phase transition dynamics in ternary oil-water-surfactant systems. It is based on the Landau-Ginzburg theory proposed for such systems by G. Gompper et al. We prove that the problem under consideration is well posed in the sense that it admits a unique global smooth solution which depends continuously on the initial datum.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/f860be0c4af6930fa00d6f22ca589621b5d2d58d