Applied Mathematics Seminars Summer 2012

All seminars (unless otherwise stated) will take place on Mondays at 3.00 pm in Room 505 which is located on the 5th floor of the Mathematics Department. See Where to Find Us for further details.

There will be tea after each seminar in room 606.

If you require any more information on the Applied seminars please contact Professor Yaroslav Kurylev e-mail: y.kurylev AT ucl.ac.uk or tel: 020-7679-7896.

Tuesday 08 May 2012 - 11am in Room 505

Professor Marc Perlin - Naval Architecture & Marine Engineering Department, University of Michigan, USA

Air Layer Drag Reduction (ALDR) and Partial Cavity Drag Reduction (PCDR)

Monday 14 May 2012

Professor John P McHugh - Applied Math Program, University of New Hampshire, USA

Internal wave packets impinging on a density gradient interface

(Please note: Prof. McHugh will stay at UCL, room 806 until June)

Thursday 07 June 2012 - 3pm in Room 500

Professor Georg Gottwald - School of Mathematics and Statistics, University of Sydney

Diffusive behaviour in spatially extended systems with symmetry

Abstract:

We present a universal view on diffusive behaviour in chaotic, spatially-extended systems for anisotropic and isotropic media. For anisotropic systems, strong chaos leads to diffusive behaviour (Brownian motion with drift) and weak chaos leads to superdiffusive behaviour (Levy processes with drift). For isotropic systems, the drift term vanishes and strong chaos again leads to Brownian motion. We establish the existence of a nonlinear Huygens principle for weakly chaotic systems in isotropic media whereby the dynamics behaves diffusively in even space dimension and exhibits superdiffusive behaviour in odd space dimensions.

This is joint work with Ian Melbourne.