Second order perturbations of flat dust FLRW universes with a cosmological constant

We summarize recent results concerning the evolution of second order perturbations in flat dust irrotational FLRW models with Λ ≠ 0. We show that asymptotically these perturbations tend to constants in time, in agreement with the cosmic no-hair conjecture. We solve numerically the second order scalar perturbation equation, and very briefly discuss its all time behaviour and some possible implications for the structure formation