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Solitary waves in magma dynamics

Published online by Cambridge University Press:  26 April 2006

Victor Barcilon  and
Oscar M. Lovera
Victor Barcilon
Affiliation:
Department of The Geophysical Sciences, The University of Chicago, Chicago, IL 60637, USA
Oscar M. Lovera
Affiliation:
Department of The Geophysical Sciences, The University of Chicago, Chicago, IL 60637, USA
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Abstract

We investigate the stability of the one-dimensional solitary waves solutions of the equations proposed by McKenzie to model the ascent of melts in the Earth interior. We show that for small porosity and two-dimensional horizontal disturbances with long wavelength, these solitary waves are unstable. We also exhibit two- and three-dimensional solitary-wave solutions of the McKenzie equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 204 , July 1989 , pp. 121 - 133
Copyright
© 1989 Cambridge University Press

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