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Propagation of weakly nonlinear waves in stratified media having mixed nonlinearity

Published online by Cambridge University Press:  26 April 2006

A. Kluwick  and
E. A. Cox
A. Kluwick
Affiliation:
Institute of Fluid Dynamics and Heat Transfer, Technical University, Vienna
E. A. Cox
Affiliation:
Department of Mathematical Physics, University College Dublin, Dublin 4, Ireland
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Abstract

The evolution of small-amplitude finite-rate waves in fluids having high specific heats is studied adopting the assumption that the unperturbed state varies in the propagation direction. It is shown that this not only leads to quantitative changes of the results holding for homogeneous media but also gives rise to new phenomena. Most interesting, shocks are found to terminate at a finite distance from the origin if the fundamental derivative changes sign along the propagation path.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 244 , November 1992 , pp. 171 - 185
Copyright
© 1992 Cambridge University Press

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