[AO discussion] Jets etc

[Michael E McIntyre]

To colleagues interested in jets, vortices & geophysical turbulence


Richard Wood and I would like to call your attention to a
preprint we've just submitted to J. Atmos. Sci, "A general theorem
on angular-momentum changes due to potential vorticity mixing and
on potential-energy changes due to buoyancy mixing".

It clarifies, for instance, how the natural jet self-sharpening
process causes jet cores to accelerate while reducing
total angular momentum.  Another spinoff is an extension
of Arnol'd's first stability theorem beyond its original
Hamiltonian framework.

The preprint is available as a pdf at the hash link
www.atm.damtp.cam.ac.uk/people/mem/#jet-sharpening-paradox
or at
www.atm.damtp.cam.ac.uk/people/mem/
after the string "may appear paradoxical".

Please excuse any duplicates.  As far as we are aware
the results are not only fundamental but also novel.
Comments welcome.

Sincerely,
Michael McIntyre

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Emeritus Professor M. E. McIntyre MAE FRS,
Centre for Atmospheric Science at the
Department of Applied Mathematics and Theoretical Physics,
Wilberforce Rd,
Cambridge CB3 0WA,
United Kingdom

Fax +44-1223-760419 and -765900
Tel +44-1223-337871,  secretary -337870 (Loraine Knight)
   & +44-1223-363283,  mobile/cellphone +44-794-786-0441
email mem at damtp.cam.ac.uk,  secretary  L.L.Knight at damtp.cam.ac.uk
http://www.atm.damtp.cam.ac.uk/people/mem/#thinking-probabilistically

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