Topological shocks in Burgers turbulence.
The dynamics of the multidimensional 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.
Bec
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Laboratoire G.-D. Cassini, Observatoire de la Côte d'Azur, B.P. 4229, 06304 Nice Cedex 4, France.
Iturriaga
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Khanin
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