Enhancement of the Benjamin-Feir instability with dissipation
Classical Physics
2009-11-13 v1 Analysis of PDEs
Atmospheric and Oceanic Physics
Abstract
It is shown that there is an overlooked mechanism whereby some kinds of dissipation can enhance the Benjamin-Feir instability of water waves. This observation is new, and although it is counterintuitive, it is due to the fact that the Benjamin-Feir instability involves the collision of modes with opposite energy sign (relative to the carrier wave), and it is the negative energy perturbations which are enhanced.
Keywords
Cite
@article{arxiv.0709.1379,
title = {Enhancement of the Benjamin-Feir instability with dissipation},
author = {Thomas J. Bridges and Frederic Dias},
journal= {arXiv preprint arXiv:0709.1379},
year = {2009}
}
Comments
15 pages, 2 figures To download more papers, go to http://www.cmla.ens-cachan.fr/~dias. Physics of Fluids (2007) to appear