Abstract
‘Turbulence’ and especially the extreme examples of ‘compressible turbulence’ is badly understood and perhaps even badly defined. Although some progress has been made [1in understanding gas flow with moderate Mach numbers as an extrapolation (and a restriction) from the familiar Kolmogorov universal cascade paradigm, the newer illustrations of deterministic chaos escape almost completely this gradualist attempt to include them. This is true for physical systems in which long range forces are important such as in self-gravitating media [2], as well as in phase changing media that are dominated by local interactions. A recent extensive review [3] of ‘non-equilibrium structure’ in such media refers to ‘spatio-temporal chaos’ as a conceptual generalization of the no longer sufficiently evocative ‘turbulence’ (one should turn however to the beautifully written text by Monin and Yaglom [4] for this basic classical material).
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