ERC Starting Grant · 2016
The analysis of geometric non-linear wave and kinetic equations
The present proposal is concerned with the analysis of geometric non-linear wave equations, such as the Einstein equations, as well as coupled systems of wave and kinetic equations such as the Vlasov-Maxwell and Einstein-Vlasov equations. We intend to pursue three main lines of research, each of them concerning major open problems in the field. I) The dynamics in a neighbourhood of the Anti-de-Sitter space with various boundary conditions. This is a fundamental open problem of mathematical physics which aims at understanding the stability or instability properties of one of the simplest solutions to the Einstein equations. On top of its intrinsic mathematical interest, this question is also…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.