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M��nsteranian Torturials on Nonlinear Science: DRIST - linear stability of sliding drops on an inclined homogeneous substrate

Authors: , Thiele;

M��nsteranian Torturials on Nonlinear Science: DRIST - linear stability of sliding drops on an inclined homogeneous substrate

Abstract

The tutorial DRIST 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��nsteranian Torturials on Nonlinear Science". The tutorial employs continuation techniques to calculate selected stationary states of a driven thin-film equation together with their linear stability, i.e., steady profiles, their eigenvalues and eigenfunctions are continued in parallel. Retracing the various steps for this particular problem, you will be able to apply the technique to any equation of this form. Beside auto07p you will need MatLab to be able to use this tutorial. It is recommended to consider this tutorial after the tutorials CCH and/or SLIDROP.

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, numerical continuation, pseudo-arclength continuation, thin-film equation, lubrication model, long-wave equation, sliding drops, linear stability analysis, suppression of coarsening

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