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 $\Lambda\ne 0$. 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. 
Felipe C. Mena, Reza Tavakol and Marco Bruni