100 citations · 210 across the 9 of their papers we have counts for
9 papers
The evolution of anisotropic structures and turbulence in the multi-dimensional Burgers equation
S. N. Gurbatov, A. Yu. Moshkov, A. Noullez
The goal of the present paper is the investigation of the evolution of anisotropic regular structures and turbulence at large Reynolds number in the multi-dimensional Burgers equat…
Ballistic aggregation in symmetric and non-symmetric flows
A. Andrievskii, S. Gurbatov, A. Sobolevskii
We consider exact solutions to the problem of ballistic aggregation in a flow of adhesive particles, providing a model for large-scale structure formation in cosmology within the f…
The global picture of self-similar and not self-similar decay in Burgers Turbulence
Alain Noullez, Sergey N. Gurbatov, Erik Aurell +1
This paper continue earlier investigations on the decay of Burgers turbulence in one dimension from Gaussian random initial conditions of the power-law spectral type $E_0(k)\sim|k|…
The inner structure of Zeldovich' pancakes
E. Aurell, D. Fanelli, S. N. Gurbatov +1
The evolution of a planar perturbation in a Einstein-de Sitter Universe is studied using a previously introduced Lagrangian scheme. An approximate discrete dynamical system is deri…
The decay of multiscale signals - deterministic model of the Burgers turbulence
S. N. Gurbatov, A. V. Troussov
This work is devoted to the study of the decay of multiscale deterministic solutions of the unforced Burgers' equation in the limit of vanishing viscosity. A deterministic model of…
Universality classes for self-similarity of noiseless multi-dimensional Burgers turbulence and interface growth
S. N. Gurbatov
The present work is devoted to the evolution of random solutions of the unforced Burgers and KPZ equations in d-dimensions in the limit of vanishing viscosity. We consider a cellul…