Topological Shocks in Burgers Turbulence

Preprint

20 June 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0112050

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.

Keywords

STRUCTURE WHICH IS DETERMINED
DIMENSIONAL RANDOMLY
BOUNDARY CONDITIONS
CONFIGURATION SPACE
BURGERS TURBULENCE
TOPOLOGICAL SHOCKS
MULTI DIMENSIONAL
TURBULENCE
TOPOLOGY

All Related Versions

Version 1, 2001-12-31, ArXiv
Version 2, 2002-06-20, ArXiv
Published version: Physical Review Letters, 89 (2), 024501.

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