paper

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

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