Nonlinear Effects in the Linear Regime of Structures Formation

We apply the traveling wavelets method to investigate the large scale structures formation in cosmology. In particular we test the stability of the linear (evolution) regime in a plane symmetric case. As a result, our analysis confirms the existence of such a behavior in some configurations of fields describing the evolution of cosmological structures. However, we also exhibit other configurations for which the linear approximation is not valid at any time. In particular, density defaults (i.e. holes) turns out to be highly non-linear structures which dominate the evolution.