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M��nsteranian Torturials on Nonlinear Science: SLIDROP - sliding drops on an inclined homogeneous substrate

Authors: , Thiele;

M��nsteranian Torturials on Nonlinear Science: SLIDROP - sliding drops on an inclined homogeneous substrate

Abstract

In the tutorial SLIDROP 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 explores a dimensionless thin-film equation closely related to the one in the tutorial SITDROP. Here, a lateral driving force is included and drops are examined that slide down an incline. You will calculate stationary states, i.e., steady states in a frame moving at a constant velocity (that is a nonlinear eigenvalue of the problem). The employed main control parameter is the inclination angle. 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.

Keywords

numerical method, nonlinear science, bifurcation analysis, numerical continuation, pseudo-arclength continuation, thin-film equation, lubrication model, long-wave equation, sliding drops, travelling waves, bifurcation diagram

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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