## Applied Math. Colloquium A new calculus for two dimensional vortex dynamics

Date
2009-12-21 17:40 - 2009-12-21 18:30
Place

Speaker/Organizer
Prof. Darren Crowdy (Imperial College London, UK)

Abstract: In classical fluid dynamics, an important problem arising in avariety of applications is to understand how vorticity interacts with solid objects (e.g. aerofoils, obstacles or stirrers). For planar flows, a variety of powerful mathematical results exist but the constructions are usually restricted to problems with just one, or perhaps two, objects. The talk will show that there is a way to formulate the theory so that the relevant fluid dynamical formulae are exactly the same irrespective of the connectivity of the domain thereby leading to a flexible calculus'' for solving such problems. The approach is built on the methodologies expounded in the first talk. This application represents just one physical example where methods based on the Schottky-Klein prime function can be profitably employed.