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Weakly non-linear waves in rotating fluids

Published online by Cambridge University Press:  29 March 2006

S. Leibovich
S. Leibovich
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
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Abstract

The Korteweg–de Vries equation is shown to govern formation of solitary and cnoidal waves in rotating fluids confined in tubes. It is proved that the method must fail when the tube wall is moved to infinity, and the failure is corrected by singular perturbation procedures. The Korteweg–de Vries equation must then give way to an integro-differential equation. Also, critical stationary flows in tubes are considered with regard to Benjamin's vortex breakdown theories.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 4 , 30 July 1970, pp. 803 - 822
Copyright
© 1970 Cambridge University Press

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