My work is focussed on multiscale nonlinear dynamics. I combine computational methods for the numerical solution of partial differential equations, numerical stability analysis and principles of Machine Learning with analytical approaches such as asymptotic analysis, functional analysis and dynamical systems theory to solve problems in fluid dynamics.
Recent Work
turbulence theory
- applications of functional analysis
- statistical hierarchies for LES models
- Betchov relation for the helicity flux
machine learning
- assessing the importance of turbulent coherent structures through XAI
- explaining relaminarisation predictions and the self-sustaining process
- prediction of extreme events in the Hénon map
invariant solutions
- flow control
- instabilities and transition
- free-stream coherent structures
magnetohydrodynamics
- turbulence
- large-scale structure formation
- dynamo action
