论文标题
浸入涂层中的二维模式 - 延续路径上的第一步
Two-dimensional patterns in dip coating -- first steps on the continuation path
论文作者
论文摘要
我们介绍了与Cahn-Hilliard类型的连续模型所描述的与形成二维沉积模式相关的分叉结构的简要比较研究。一方面，这些是一个驱动的Cahn-Hilliard模型，用于从浴缸的表面转移表面活性剂层到移动板上，另一方面是一个驱动的薄膜方程，通过简单的液体通过简单的液体建模了板的表面声波驱动的涂层。在这两种情况下，我们都介绍了与沉积模式相对应的选定的二维稳态，并讨论相应分叉图的主要结构。
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.
