Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-13T06:40:48.784Z Has data issue: false hasContentIssue false
  • English
  • Français

Axi-symmetric inertial oscillations of a rotating ring of fluid

Published online by Cambridge University Press:  26 February 2010

Victor Barcilon
Victor Barcilon
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts.
Get access

Abstract

The Poincaré problem for the normal modes of oscillations of an inviscid, incompressible fluid contained in an infinitely long cylinder rotating about a direction perpendicular to its axis is investigated.

Type
Research Article
Information
Mathematika , Volume 15 , Issue 1 , June 1968 , pp. 93 - 102
Copyright
Copyright © University College London 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aldridge, K. D. and Toomre, A. (1968), Fluid Mech. (to appear).Google Scholar
Bryan, G. H. (1889), Phil. Trans., 180, 187.Google Scholar
Burgin, D. G. and Duffin, R. (1939), Bull. Amer. Math. Soc., 45, 851.CrossRefGoogle Scholar
Cartan, M. E. (1922), Bull. Sci. Math., 46, 317.Google Scholar
Fultz, D. (1959), J. Meteor., 16, 199.2.0.CO;2>CrossRefGoogle Scholar
Greenspan, H. P. (1964), Fluid Mech., 20, 673.CrossRefGoogle Scholar
Høiland, E. (1962), Geofys. Pub., 24, 211.Google Scholar
Kelvin, (1880), Phil. Mag., 10, 155.Google Scholar
Poincaré, H. (1885), Ada Math., 7, 259.Google Scholar
Poincaré, H. (1910), Bull. Astro, 27, 321.Google Scholar
Wood, W. W. (1966), Proc. Roy. Soc. A., 293, 181.Google Scholar