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The tutorial LINDROP 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 calculates the same 1d steady states as the tutorial SITDROP, and additionally determines their linear stability (in 1d and 2d) with respect to time-dependent perturbations. You will calculate the dispersion relation (growth rate over transversal wave number of the Plateau-Rayleigh instability of liquid ridges). Steady states and their stability are continued in various parameters. The employed code package is auto07p. It is recommended to consider this tutorial after the tutorial SITDROP.
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.
numerical method, nonlinear science, bifurcation analysis, numerical continuation, pseudo-arclength continuation, thin-film equation, lubrication model, long-wave equation, sitting drops, linear stability analysis, Plateau-Rayleigh instability of liquid ridge
numerical method, nonlinear science, bifurcation analysis, numerical continuation, pseudo-arclength continuation, thin-film equation, lubrication model, long-wave equation, sitting drops, linear stability analysis, Plateau-Rayleigh instability of liquid ridge
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