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Determination of the Thickness and Composition Profiles for a Film of Binary Mixture on a Solid Substrate

L. FraštiaU. ThieleL. M. Pismen — 2010

Mathematical Modelling of Natural Phenomena

We determine the steady-state structures that result from liquid-liquid demixing in a free surface film of binary liquid on a solid substrate. The considered model corresponds to the static limit of the diffuse interface theory describing the phase separation process for a binary liquid (model-H), when supplemented by boundary conditions at the free surface and taking the influence of the solid substrate into account. The resulting variational problem...

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