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A stochastical model of dispersed particle motion in the channel with porous walls is developed in present study. The fluid velosity in the particle motion equation is represented as a sum of averaged component and random variable. The instantaneous fluid velosity is sampled from a normal velosity distribution. The eddy lifetime and eddy lenght relating to the given fluctuation are determined with the turbulence local properties. The approximate method is established for turbulence field computation reproducing the main exceptions of such flows. The realizations of dispersed particle motion random trajectories corresponding to the different boundary conditions and particle sizes are constructed 

This work is examining the dynamics of elastic strip starting to move on the grainy plane without take-off from the state of static equilibrium. The upper foundation is pursed and moves with the given velocity. Various types of dependence friction of velocity are investigating. The regimes of tending to relative equilibrium and the regimes of relaxational and nonrelaxational oscillations are found. The results of this work agree with the results of the other researchers for more simple models and they are of more general character 

We research particle dynamics in the secondary self-oscillations flow forking from two-dimensional spatially-periodic stream when one of the periods goes to infinity in 2 cases: 1) the main stream is parallel and 2) non-parallel. In the first case the particle trajectories are level curves of stream function. In the second case in self-oscillations we observe chaotic behavior of the particle known as the Lagrangian turbulence 

Nonlinear problem of diffraction of waves on a thin body, moving in shallow water, in the case of trancritical velocity is considered in this article. The theoretical solution of this problem hasn't been obtained yet. The practical solution of this problem is carried out on the base of an effective asymptotic method — the method of full approximation, which is generalization of a method of deformed coordinates. As a result the equations, convenient for practical calculations, for diffractional side force and moment, affecting the body moving in liquid, were obtained 

Dynamics of the sliding elastic strip is considered. The upper foundation of the strip is compressed and moves with the given velocity. The lower foundation of the strip slides along the surface with the friction dependent on sliding velocity. The solution of problem was found for different approximation of friction-velocity characteristic with the using of small parameter method. The modes of fluctuations of various character asymptotically tending to equilibrium or drifting from equilibrium, were revealed in dependence on system's parameters. The conditions of satisfactory using of the different types of friction characteristic approximation were obtained. The conditions, at which it is necessary to use one or another approximation of the characteristic of friction, were obtained