Abstract
We prove the non-linear stability of a system of non-linear wave equations satisfying the weak null condition. In particular, this includes the case of the non-linear stability of Minkowski spacetime times a [Formula: see text]-torus subject to perturbations depending only on the non-compact coordinates. Our argument closely follows the proof of the non-linear stability of Minkowski spacetime by Lindblad and Rodnianski.
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