ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Longitudinal Dimensions of Polygon-shaped Planetary Waves

Journal of Applied Nonlinear Dynamics 4(2) (2015) 153--167 | 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

Abstract

Polygon-shaped longitudinal large-scale waves are described by means of higher-order 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 mid-troposphere. Some analogy with the jet-stream following hexagon-shaped 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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