3pm - 4pm
Wednesday 2 December 2020
Something from nothing: Investigating the emergence of localised patterns
A seminar in the Taste of Research Undergraduate Seminar Series designed by mathematics PhD students to introduce year 2, 3 and 4 mathematics students to a taste of mathematics doctoral research.
This event has passed
The event will be held on Zoom.
Ferrofluids, magnetic fluids consisting of iron nanoparticles, provide a good experimental medium to investigate properties of nonlinear waves. For a vertically-applied magnetic field, there exists a critical field strength at which spikes emerge from the ferrofluid, arranging in geometric patterns. In 2005, isolated spikes were observed experimentally; these 'spot' solutions were seen to drift around the domain and interact with each other, suggesting that were an example of `localised' patterns.
By introducing some theory surrounding ODEs, bifurcations, and multi-scale dynamics, we investigate why these patterns emerge and identify the types of localised axisymmetric (radial) solutions that may appear in this experiment.