Partial Differential Equations, Nonlinear Waves equations, General Relativity
Current projectsI am interested in the behaviour of systems of nonlinear wave equations in asymptotically flat spacetimes. In particular, the applicability of geometric singular analysis and methods coming from general relativity to such systems.
Prepreints
- A scattering theory construction of dynamical solitons in 3d.
- Construction of multi-soliton solutions for the energy critical wave equation in dimension 3 .
- Scattering, Polyhomogeneity and Asymptotics for Quasilinear Wave Equations From Past to Future Null Infinity with Lionor Kehrberger.