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

Two-dimensional patterns in dip coating - first steps on the continuation path
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DOI:
10.1016/j.physd.2020.132485
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发表时间:
2020-08-01
影响因子:
4
通讯作者:
Gurevich, Svetlana, V
Gurevich, Svetlana, V
中科院分区:
数学3区
文献类型:
--
作者:
Ly, Phong-Minh Timmy;Mitas, Kevin David Joachim;Gurevich, Svetlana, V

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我们提出了一个简短的比较调查的分叉结构相关的形成二维沉积模式所描述的连续模型的Cahn-Hilliard型。这些是,一方面驱动的Cahn-Hilliard模型的表面活性剂层从浴的表面转移到移动的板上,另一方面驱动的薄膜方程模型的表面声波驱动的涂层的板由一个简单的液体。在这两种情况下,我们提出了选定的二维稳态对应的沉积模式,并讨论了相应的分岔图的主要结构。(C)2020 Elsevier B. V.保留所有权利。
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. (C) 2020 Elsevier B.V. All rights reserved.