Remarks concerning the double cascade as a necessary mechanism for the instability of steady equivalent-barotropic flowsShepherd, T. G. (1988) Remarks concerning the double cascade as a necessary mechanism for the instability of steady equivalent-barotropic flows. Il Nuovo Cimento C, 11 (4). pp. 439-442. ISSN 0390-5551 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/BF02533136 Abstract/Summaryn a recent paper, Petroniet al. claim that a necessary condition for the instability of two-dimensional steady flows is a «double cascade» of energy and enstrophy respectively to larger and to smaller scales of motion. It is shown here that the analytical reasoning employed by Petroniet al. is flawed and that their conclusions are incorrect. What is true is that in any scale interaction (whether an instability or not), neither energy nor enstrophy can be transferred in one spectral direction only, but this result is extremely well known.
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