Self-Preservation of Large-Scale Structures in Burgers' Turbulence

Details Self-Preservation of Large-Scale Structures in Burgers' Turbulence Self-Preservation of Large-Scale Structures in Burgers' Turbulence

1993-06-26

arxiv.org/abs/chao-dyn/9306011v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1016/0375-9601(93)90062-5

We investigate the stability of large-scale structures in Burgers' equation
under the perturbation of high wave-number noise in the initial conditions.
Analytical estimates are obtained for random initial data with spatial spectral
density k^n, n < 1. Numerical investigations are performed for the case n=0,
using a parallel implementation of the Fast Legendre Transform.

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