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M��nsteranian Torturials on Nonlinear Science: CCH - sliding clusters and travelling waves in the convective Cahn-Hilliard equation

descriptionPublicationkeyboard_double_arrow_right Report 27 Jan 2022 English Publisher:Zenodo
Authors: Thiele;

doi: 10.5281/zenodo.4546351 , 10.5281/zenodo.4546352

M��nsteranian Torturials on Nonlinear Science: CCH - sliding clusters and travelling waves in the convective Cahn-Hilliard equation

Abstract

The tutorial CCH is one of a series of tutorials on the practical application of numerical path-continuation methods for problems in soft matter and pattern formation. It is part of the ``M\"unsteranian Torturials on Nonlinear Science''. The tutorial explores the convective Cahn-Hilliard equation. Compared to the Cahn-Hilliard equation, it features an added driving force. You will calculate stationary solutions representing drifting clusters and continue them using the driving force as control parameter. The employed code package is auto07p. It is recommended to consider this tutorial after the tutorial ACCH.

The M��nsteranian Torturials on Nonlinear Science are edited by U. Thiele, O. Kamps and S. V. Gurevich and hosted by the Center for Nonlinear Science (CeNoS) of WWU M��nster.

Keywords

numerical method, nonlinear science, bifurcation analysis, pseudo-arclength continuation, convective Cahn-Hilliard equation, heterogeneous stationary states, drifting clusters, bifurcation diagram

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