Two-dimensional patterns in dip coating -- first steps on the continuation path
Pattern Formation and Solitons
2020-04-13 v2
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.
Keywords
Cite
@article{arxiv.2001.10438,
title = {Two-dimensional patterns in dip coating -- first steps on the continuation path},
author = {Phong-Minh Timmy Ly and Kevin David Joachim Mitas and Uwe Thiele and Svetlana V. Gurevich},
journal= {arXiv preprint arXiv:2001.10438},
year = {2020}
}