Topological Shocks in Burgers Turbulence

J. Bec (1) , R. Iturriaga , K. Khanin (2)

1 LAGRANGE - Joseph Louis LAGRANGE
2 Department of Mathematics

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.

Domaines: Dynamique des Fluides [physics.flu-dyn]

J. Bec, R. Iturriaga, K. Khanin. Topological Shocks in Burgers Turbulence. Physical Review Letters, 2002, 89 (2), ⟨10.1103/PhysRevLett.89.024501⟩. ⟨hal-01399298⟩