Physics – Fluid Dynamics
Scientific paper
1997-09-02
J. Fluid Mech. 344 (1997) 339--374
Physics
Fluid Dynamics
In LaTeX with 11 PostScript figures. 56 pages. One figure contributed by Alain Noullez (Observatoire de Nice, France)
Scientific paper
This work is devoted to the decay ofrandom solutions of the unforced Burgers equation in one dimension in the limit of vanishing viscosity. The initial velocity is homogeneous and Gaussian with a spectrum proportional to $k^n$ at small wavenumbers $k$ and falling off quickly at large wavenumbers. In physical space, at sufficiently large distances, there is an ``outer region'', where the velocity correlation function preserves exactly its initial form (a power law) when $n$ is not an even integer. When $1
Aurell Erik
Frisch Uriel
Gurbatov Sergei N.
Simdyankin Sergei I.
Tóth Géza
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