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مکانیک::
آشفتگی دو بعدی
Note that the hypotheses Kolmogorov formulated in 1941 are true for Zakharov's direct and inverse cascades of weak wave turbulence and are probably true for Kraichnan's inverse cascade in incompressible two-dimensional turbulence as well.
8.10 Two-dimensional turbulence
erent from the three-dimensional case, because for two-dimensional turbulence, vor- tex stretching does not occur, and so the enstrophy (mean-square vorticity) as well as the energy are inviscid invariants of the flow.
The issue of two-dimensional turbulence came up in the discussions at the 1961 Marseille Conference, and I believe that these discussions led both Batch- elor and Kraichnan to investigate the situation further.
erences between motion in two and three dimensions are so great that two-dimensional turbulence (which cannot normally be reproduced experimen- tally in our three-dimensional world owing to instability) bears no relation to three-dimensional turbulence.
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