On the evolution of cosmological adiabatic perturbations in the weakly non-linear regime

The purpose of this paper is to investigate the weakly non-linear stage in the evolution of adiabatic density fluctuations. It is shown that tidal processes may lead to the disruption of large scale inhomogeneities into smaller units. This phenomenon may change significantly the Doroshkevich, Sunyaev & Zeldovich scenario for development of structure in the expanding Universe. Accurate N-body experiments are necessary to decide whether the approach used in this paper is reasonable.