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Semidispersive wave systems

Published online by Cambridge University Press:  29 March 2006

Alan C. Newell and
P. J. Aucoin
Alan C. Newell
Affiliation:
Department of Mathematics, University of California, Los AngelesPresent address: Department of Mathematics, Clarkson College of Technology, Potsdam, New York 13676.
P. J. Aucoin
Affiliation:
Department of Mathematics, University of California, Los Angeles
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Abstract

The statistical initial-value problem for a class of weakly coupled waves whose linear dispersion relation is ω ∞ ± |k| is examined. It is found that in two and higher dimensions a natural asymptotic closure is possible. The redistribution of energy is achieved by means of two mechanisms; the first by a resonance between collinear wave vectors; the second by a local transfer between adjacent rays. The entropy functional is ∫ log n(k) dk and corresponds to particles obeying Bose–Einstein statistics.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 49 , Issue 3 , 15 October 1971, pp. 593 - 609
Copyright
© 1971 Cambridge University Press

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References

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