PhD in Nonlinear Waves

Over 50 years ago at Caltech, Richard Feynman stated that ``Waves easily seen by everyone and which are usually used as an example of waves in elementary courses are water waves. [...] They are the worst possible example because they are in no respects like sound and light; they have all the complications that waves can have.'' In the present day, the mathematical and computational study of water waves still remains a challenging and important research topic, with applications ranging from modelling tsunamis, rogue waves, and ice floes to informing ship design and coastal management. This PhD project will strive to resolve some of these problems/challenges by utilising a mixture of tools from applied mathematics and computational techniques. The project focuses on characterising water-waves that are i) three-dimensional, ii) time-dependent and iii) rotational. Location: Birmingham.