3pm - 4pm
Wednesday 20 February 2019
Application of complex analysis to the geometry of river valleys and networks
Valleys and networks shaped by groundwater-fed streams exhibit remarkable geometric properties, two of which are considered in this talk: (i) the finger-like shape of an individual valley is modelled by a diffusive free boundary whose solution gives the 3D structure of the valley; (ii) the 2D bifurcation dynamics of evolving streams is modelled analytically by Loewner's equation and numerically using Matlab's Schwarz-Christoffel toolbox. Comparison to field data is made in both (i) and (ii).
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