Recent advances on massive matter flows and the Einstein-Euler equations

I will present recent mathematical advances on the global evolution of matter fields (governed by the Euler equations) and the nonlinear stability of spacetimes (governed by the Einstein equations), including results on spherically symmetric compressible fluid flows around a Schwarzschild black hole, on the dispersion of massive scalar fields in Minkowski spacetime, and on the validation of the f(R)-theory of gravity. Blog: philippelefloch.org <http://philippelefloch.org/>