Self-Preservation of Large-Scale Structures in Burgers' Turbulence
Abstract
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 kn, n < 1. Numerical investigations are performed for the case n=0, using a parallel implementation of the Fast Legendre Transform.
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