The density distribution arising at the nonlinear stage of gravitational instability is similar to
intermittency phenomena in acoustic turbulence. Initially small-amplitude density …

We discuss various analytical approximation methods for following the evolution of
cosmological density perturbations into the strong (ie nonlinear) clustering regime. We start …

The evolution of density inhomogeneities and the velocity field in an expanding continuous
medium is studied. The consideration is based on the model equation of non-linear diffusion …

Page 1 NONLINEAR SCIENCE THEORY AND APPLICATIONS Nonlinear random waves and
turbulence in nondispersive media: waves, rays and particles FILE COPY PLEASE DO NOT …

" Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications
to Nonlinear Acoustics” is devoted completely to nonlinear structures. The general theory is …

The solutions to Burgers equation, in the limit of vanishing viscosity, are investigated when
the initial velocity is a Brownian motion (or fractional Brownian motion) function, ie a …

We use the adhesion model to study the formation process of large-scale structures due to
nonlinear gravitational growth of small initial fluctuations in the universe dominated by dark …

A semianalytic formation model for the large-scale structure of the Universe (from a few to
hundreds of megaparsecs) is discussed. The model is a natural generalization of …

This work is devoted to the decay of random solutions of the unforced Burgers equation in
one dimension in the limit of vanishing viscosity. The initial velocity is homogeneous and …

This survey is devoted to experimental and theoretical results on interaction and self-action
processes of strongly distorted waves containing shock fronts. Such sawtooth-shaped …