Topological Shocks in Burgers Turbulence
arXiv:nlin/0112050 · doi:10.1103/PhysRevLett.89.024501
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.
4 pages, 4 figures, RevTex4, published version