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Hyperbolic & Dispersive PDE Seminar

Turbulence for quasilinear waves on Schwarzschild-AdS black holes

Christoph Kehle (ETH Zurich)

Location:  Hill 705
Date & time: Thursday, 13 April 2023 at 3:30PM - 4:30PM

I will present upcoming joint work with Georgios Moschidis motivated by 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.

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