PhD opportunities

I am looking for PhD students who enjoy applied mathematics, from analysis to modelling to coding. The projects below are listed on the School of Mathematical Sciences PhD projects page, which also explains funding and how to apply. If one of them interests you, email me a short note and your CV.

• Does a peat bog remember its own age? Creep, decay and what a peat core can and cannot tell us. ODEs, PDEs, mechanics.
• Why do peat bogs make stripes and mazes? Pattern formation in a thin, soft layer. Linear stability, thin films, simulation.
• What happens to chocolate in your mouth? Breaking, melting and dissolving crystals, and reduced models that stay physically possible.
• Scientific computing for porous materials: a multiscale solver in C++ and OpenFOAM. For people who like programming as much as maths.
• Well-posedness and stability of physics-informed data fitting. Analysis of fitting data and a PDE at the same time.
• When does a flowing fluid become a wall? Clogging, constraints and Lagrange multipliers, with OpenFOAM simulations.
• Charging batteries faster: ions, electric fields and data. Reduced models for porous electrodes, tested against detailed simulations and data.

Other ideas are welcome, especially at the boundary between mathematics, computation and real materials.