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

Autor: Ly, Phong-Minh Timmy, Mitas, Kevin David Joachim, Thiele, Uwe, Gurevich, Svetlana V.
Rok vydání: 2020
Předmět:
Zdroj: Physica D 409 (2020) 132485
Druh dokumentu: Working Paper
DOI: 10.1016/j.physd.2020.132485
Popis: 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.
Databáze: arXiv