Journal of Applied Nonlinear Dynamics
Longitudinal Dimensions of Polygonshaped Planetary Waves
Journal of Applied Nonlinear Dynamics 4(2) (2015) 153167  DOI:10.5890/JAND.2015.06.005
Ranis N. Ibragimov; Guang Lin
$^{1}$ GE Global Research 1 Research Circle, Niskayuna, NY 12309, USA
$^{2}$ Department ofMathematics, and School of Mechanical Engineering, Purdue University,West Lafayette, IN 47907, USA
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Abstract
Polygonshaped longitudinal largescale waves are described by means
of higherorder shallow water approximation corresponding to the Cauchy–Poisson free boundary problem on the stationary motion of a perfect incompressible fluid circulating around a circle. It is shown that there are four basic physical parameters, which exert an influence on a wave number (or wave length), which is one of the basic values used to characterize the planetary flow pattern in midtroposphere. Some analogy with the jetstream following hexagonshaped path at Saturn’s north pole is observed.
Acknowledgments
This research was supported in part by an appointment to the U.S. Department of Energy’s Visiting Faculty Program.
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