School of Mathematical Sciences Colloquium 2022
- Date: Fri, 12 Aug - Sat, 31 Dec 2022
- Location: Engineering North N132, North Tce campus
- Contact: Judy Bunder +61 8 8313 4846
- Email: judith.bunder@adelaide.edu.au
All seminars will be held on a Friday, starting at 2:10 pm. The talks will be in Engineering North N132 and over Zoom.
To receive the Zoom link, please contact Judy Bunder.
| Date | Speaker | Presentation |
|---|---|---|
| Friday 12 August 2:10 pm Eng Nth N132 |
Serena Dipierro University of Western Australia |
Title: What is the (fractional) Laplacian and why is it useful for everybody? Abstract: We will present some classical and contemporary trends in the research related to nonlocal equations and their impact in different fields. |
| Friday 19 August 2:10 pm Eng Nth N132 |
Phil Broadbridge |
Title: Conditionally integrable reaction-diffusion systems with applications to fisheries Abstract: Within a single-species fishery, for sustainability it is common to have a no-take-area. Within the NTA, the population is commonly represented by a nonlinear reaction-diffusion equation of Fisher-KPP type. Stability analysis explains why white bream are flourishing in the Medes Island group yet gilt head bream are struggling. One idea is to extend such a population model to a hyperbolic reaction-diffusion equation which is speed-limited, associated with a delay between overcrowding and dispersal. There is a useful class of conditionally integrable nonlinear Fisher-KPP models that reduces to the linear Helmholtz equation. The underlying nonclassical symmetry allows such a reduction for a much wider class of equations. It may be extended to solve hyperbolic reaction-diffusion equations. It may be extended to a two-species system of Lotka-Volterra type. This introduces the concept of conditionally integrable PDE, that applies also to the Madelüng quantum fluid, the Burgers fluid in 1+3D and the 1+2D nonlinear diffusion equation with D=1/u. |