Turbulence for quasilinear waves on Schwarzschild-AdS black holes

Christoph Kehle, ETH Zurich
Fine Hall 314

I will present upcoming joint work with Georgios Moschidis addressing the question of black hole stability in the presence of a negative cosmological constant in the Einstein equations. We prove a ``weak turbulent instability’’ for quasilinear wave equations on generic Schwarzschild-AdS black holes. The instability is governed by a stably trapped 3-mode interaction transferring energy from low- to high-frequency modes.