Numerical Analysis Seminars: Coalescing diffusions and bacterial chemotaxis
10 May 2013 14:00 in CM105
The Keller-Segel PDEs describe chemotaxis, a phenomenon characterized by the bias of bacterial motion according to the concentration of some chemical. These equations exhibit blow-ups, a mathematical manifestation of concentration of the bacteria at the finest spatial scales. Studying these blow-ups is a challenging problem, both analytically and numerically. I will discuss the associated stochastic particle models and numerical methods which allow us to study this interesting phenomenon, and will highlight the connection of Keller-Segel equations with coalescing diffusion processes.
Contact David.Bourne@durham.ac.uk for more information