Rosa completed her Bachelor’s and Master’s degrees in ‘Computational Life Science’ at the University of Lübeck, Germany. During a research internship in the University of Cambridge Image Analysis group, she worked on a project on diffeomorphic image registration. She further developed this project in her Master’s thesis, in collaboration with Barbara Gris at Sorbonne Université in Paris, to a new modular multi-shape model for image- and shape registration. Rosa is engaged in the Women in Mathematics community and politically active for sustainability and climate.

Research project title:
Euler-Poincare equations for nonconservative action principles

Supervisor(s):
David Tsang, Karsten Matthies

Project description:
The non-Hamiltonian action principle developed by Galley (2012), was developed to capture the dynamics of non-conservative systems by extremising an action with a doubling of the degrees of freedom. Such an action principle allows for the development of non-conservative classical field theories, including dissipative fluid dynamics. The Euler-Poincare equations are the analogue of the Lie-Poisson equations for a Lagrangian system. They are equivalent to the Euler-Lagrange equations for the action on the (infinite-dimensional) Lie group (and algebra) that describes the geodesic evolution of a system. Rosa’s project focuses on developing the Euler-Poincare equations for the non-Hamiltonian action principle, in particular capturing the dissipative behaviour of a viscous fluid.