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The tutorial HETDROP 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". In the tutorial the dimensionless thin-film equation used in the tutorial SITDROP is adapted to a substrate with spatially varying wettability. In particular, the long-range contribution of the wetting energy is sinosoidally modulated. You will calculate steady states and their bifurcations that emerge when using the heterogeneity contrast as control parameter. 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, heterogeneous substrate, sitting drops, suppression of coarsening, wettability contrast, bifurcation diagram
numerical method, nonlinear science, bifurcation analysis, numerical continuation, pseudo-arclength continuation, thin-film equation, lubrication model, long-wave equation, heterogeneous substrate, sitting drops, suppression of coarsening, wettability contrast, bifurcation diagram
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