The next Mary Cartwright Lecture will be held on Friday 5 April 2019 at the International Centre for Mathematical Sciences (ICMS), Edinburgh.
Mary Cartwright Lecture
Professor Beatrice Pelloni (Heriot-Watt University)
Nonlinear Transforms in the Study of Fluid Dynamics
In this talk, Professor Pelloni will discuss her long-standing interest in the study of the solution of nonlinear PDEs modelling fluid dynamics and nonlinear waves. Motivated by her early work in numerical approximations, she will proceed to illustrate the unified transform method, first proposed by Fokas in the late 90s. This transform provides a general methodology that can be considered as a nonlinear version of the Fourier transform, and generalises the well-known inverse scattering transform. It can be widely applied to the study of integrable models, particularly to provide an analytic solution to realistic water waves propagation problems. Professor Pelloni will also briefly consider the challenge posed by the full 3D fluid dynamics, and discuss another general transform idea that she has been interested in more recently, and that makes use of optimal transport techniques. This transform was introduced by Hoskins in the 70s and first exploited by Brenier in the late 90s for solving analytically some specific geophysical fluid dynamics models.
Professor Vassilios Dougalis (University of Athens)
Numerical Analysis of Some Long-WaveModels for Surface Water Waves
In this talk, attention will be given to some long-wave models that describe propagation of surface water waves and approximate the 2d Euler equations. These will include the weakly nonlinear dispersive Boussinesq systems, the ‘fully nonlinear’ dispersive Serre (or Green-Naghdi) equations, and the Camassa-Holm equation. An overview will be given of issues such as modelling, well-posedness, and numerical analysis of these systems; results of numerical experiments on properties of solitary-wave solutions of these systems will be shown.
For all event enquiries please contact John Johnston (firstname.lastname@example.org) by Friday 29 March 2019. Late registrations for places may still be accepted, subject to availability.
The lecture will be followed by a reception. A dinner (venue tbc) will be held after the reception at a cost of £35 per person, inclusive of wine.
There are limited funds available to contribute in part to the expenses of members of the Society or research students to attend the meeting
Information about previous Mary Cartwright Lectures can be found here.
Information about upcoming Society Meetings can be found here.
Submitted by Katy Henderson on 8 November, 2017 13:45