Speaker: Dr Bronwyn Hajek (http://people.unisa.edu.au/bronwyn.hajek)
Affiliation: School of Information Technology and Mathematical Sciences, University of South Australia
Date: Thursday 17th November 2016
Time: 11.30 am - 12.30 pm
Title: Viscous extensional flow and Symmetry analysis for reaction-diffusion equations
In the first part of the talk, I'll describe some problems in viscous extensional flow, including honey dripping from an upturned spoon and the stretching of a viscous thread as its ends are pulled apart. Of interest here, is the determination of the time and place where the thread "pinches", and in particular, the relationship of this to the initial shape of the drop or thread. These types of problems have many applications such as the drawing of glass and polymer fibres for optical microscopy or microelectrodes.
In the second part of the talk, I'll discuss the application of symmetry techniques to reaction-diffusion equations. These types of equations can be used to describe behaviour in many types of systems such as in population dynamics, cell biology, heat transfer and flow in porous media. Symmetry analysis is a useful technique which allows the construction of analytic solutions, enabling the importance of various system parameters to be determined easily.
All are welcome!
Ngamta Thamwattana (Natalie)