Hydrodynamic instabilities and turbulent mixing at the laser target compression

An understanding of hydrodynamics instability development is a key element in the studies of the ICF target robustness. All the perspective target design proposals are close to a limit when these instabilities leave out an ignition. It concerns both a direct and an indirect drive design. SO, the evaluation of the perturbation amplitudes of the mixing zone size is the principal ones. At the present work the basic ideas to predict the scales of a turbulent mixing in the laser targets are formulated. These ideas are based on the knowledge of the individual perturbation development and a co-evolution of a set of such the perturbation.This approach is different from a standard harmonic analysis, it takes into account a character of a geometry and it is based in the numerical and experimental results of the hydrodynamics instabilities investigations.