Quasi-modes and resonances in two-dimensional vortices with radial stratification

This project examines both the linear and nonlinear evolution of a two-dimensional axisymmetric vortex with a radial density stratification. These vortices will be perturbed by axisymmetric vorticity perturbations, and by using linear stability analysis we can examine the existence of a critical layer within such vortices. In particular we are interested in critical layer positions which give a resonant response for the perturbation. These linear calculations will be supplemented by nonlinear simulations of the system under various forcing scenarios in order to identify when nonlinear structures persist for large times, or when the vortex returns to an axisymmetric state.

The successful candidate will receive comprehensive research training related to all aspects of the research and opportunities to participate in conferences, workshops and seminars to develop professional skills and research network.

Applicants should have a minimum of a first class honours degree in mathematics, the physical sciences or engineering. Preferably applicants will hold a MMath, MPhys or MSc degree, though exceptional BSc students will be considered.

English language requirements

IELTS minimum 6.5 or above (or equivalent) with 6.0 in each individual category.

Nonlinear Waves and Geometric Fluid Dynamics