Topological Shocks in Burgers Turbulence

Details Topological Shocks in Burgers Turbulence Topological Shocks in Burgers Turbulence

2001-12-31

arxiv.org/abs/nlin/0112050v2

Phys. Rev. Lett. 89, 024501 (2002)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures, RevTex4, published version

Scientific paper

10.1103/PhysRevLett.89.024501

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.

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