Topological Shocks in Burgers Turbulence
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- June 2002
- DOI:
- 10.1103/PhysRevLett.89.024501
- arXiv:
- arXiv:nlin/0112050
- Bibcode:
- 2002PhRvL..89b4501B
- Keywords:
-
- Nonlinear Sciences - Chaotic Dynamics;
- Physics - Fluid Dynamics
- E-Print:
- 4 pages, 4 figures, RevTex4, published version