Topological Shocks in Burgers Turbulence
Chaotic Dynamics
2009-11-07 v2 Fluid Dynamics
Abstract
The dynamics of the multi-dimensional randomly forced Burgers equation is studied in the limit of vanishing viscosity. It is shown both theoretically and numerically that the shocks have a universal global structure which is determined by the topology of the configuration space. This structure is shown to be particularly rigid for the case of periodic boundary conditions.
Cite
@article{arxiv.nlin/0112050,
title = {Topological Shocks in Burgers Turbulence},
author = {J. Bec and R. Iturriaga and K. Khanin},
journal= {arXiv preprint arXiv:nlin/0112050},
year = {2009}
}
Comments
4 pages, 4 figures, RevTex4, published version