Published May 25, 1996
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Journal Article
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The suppression of short waves by a train of long waves
Abstract
It is shown that a train of long waves can suppress a short-wave field due to four-wave resonance interactions. These interactions lead to the diffusion (in Fourier space) of the wave action of the short-wave field, so that the wave action is transported to the regions of higher wavenumbers, where it dissipates more effectively. The diffusion equation is derived.
Additional Information
© 1996 Cambridge University Press. Received 25 September 1995 and in revised form 21 December 1995. Published online: 26 April 2006. I am indebted to Professor P. G. Saffman for introducing me to the problem of suppression of short waves by a long wave and for fruitful discussions of this problem. Also, I wish to thank Mr A. I. Baumstein, Dr M. Z. Caponi, and Dr L. C. Morland for valuable discussions. This work was supported in part by the Division of Mathematical Sciences of the National Science Foundation, NSF Grant DMS-9423245.Attached Files
Published - BALjfm96.pdf
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BALjfm96.pdf
Additional details
Identifiers
- Eprint ID
- 29034
- Resolver ID
- CaltechAUTHORS:20120131-090649182
Funding
- NSF Division of Mathematical Sciences
- DMS-9423245
Dates
- Created
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2012-02-28Created from EPrint's datestamp field
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2021-11-09Created from EPrint's last_modified field