Proves global nonlinear stability of subextremal Kerr black holes, with solutions settling to a nearby Kerr member at rate O(t_*^{-2-ε_K}) from initial data with O(r^{-1-ε0}) decay.
The stability of the Minkowski space for the Einstein–Vlasov system
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Nonlinear Landau damping holds for the Vlasov-Poisson system on expanding tori with a(t)=t^q (q<1/2) for small Gevrey initial data, yielding superpolynomial decay of charge density.
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Nonlinear stability of subextremal Kerr black holes
Proves global nonlinear stability of subextremal Kerr black holes, with solutions settling to a nearby Kerr member at rate O(t_*^{-2-ε_K}) from initial data with O(r^{-1-ε0}) decay.
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Landau damping on expanding backgrounds
Nonlinear Landau damping holds for the Vlasov-Poisson system on expanding tori with a(t)=t^q (q<1/2) for small Gevrey initial data, yielding superpolynomial decay of charge density.