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arXiv · 2001.10438

Two-dimensional patterns in dip coating -- first steps on the continuation path

Phong-Minh Timmy Ly·Kevin David Joachim Mitas·Uwe Thiele·Svetlana V. Gurevich
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Abstract

We present a brief comparative investigation of the bifurcation structure related to the formation of two-dimensional deposition patterns as described by continuum models of Cahn-Hilliard type. These are, on the one hand a driven Cahn-Hilliard model for Langmuir-Blodgett transfer of a surfactant layer from the surface of a bath onto a moving plate and on the other hand a driven thin-film equation modelling the surface acoustic wave-driven coating of a plate by a simple liquid. In both cases, we present selected two-dimensional steady states corresponding to deposition patterns and discuss the main structure of the corresponding bifurcation diagrams.

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Phong-Minh Timmy Ly, Kevin David Joachim Mitas, Uwe Thiele, Svetlana V. Gurevich. 2020-01-28. Two-dimensional patterns in dip coating -- first steps on the continuation path. https://doi.org/10.1016/j.physd.2020.132485

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