Rosa Kowalewski

Rosa completed her Bachelor's and Master's degrees in 'Computational Life Science' at the University of Lübeck, Germany.

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

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.