Solitary waves of vortices within a rotating, fluid shell

Details Solitary waves of vortices within a rotating, fluid shell Solitary waves of vortices within a rotating, fluid shell

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993em%26p...62..179l&link_type=abstract

Earth, Moon, and Planets, Volume 62, Issue 2, pp.179-189

Computer Science

1

Scientific paper

We consider a spherical, solid planet surrounded by a thin layer of an incompressible, inviscid fluid. The planet rotates with constant angular velocity about a fixed axis. The motion imparted by this planetary rotation upon the fluid particles of the ocean has been assumed to be governed by a linear version of the Navier-Stokes equation. We study the vortex motion within this rotating ocean and establish that the propagation of vortices depends on a third-order partial differential equation for the stream function. We prove that, in the most general case, this vorticity equation cannot generate any solitary waves; however, should the vertical component of vorticity satisfy a certain functional relationship, then we have obtained a family of solitary waves of permanent form.

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