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| Titel |
Nonlinear evolution of the modulational instability under weak forcing and damping |
| VerfasserIn |
J. Touboul, C. Kharif |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1561-8633
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| Digitales Dokument |
URL |
| Erschienen |
In: Natural Hazards and Earth System Science ; 10, no. 12 ; Nr. 10, no. 12 (2010-12-17), S.2589-2597 |
| Datensatznummer |
250008538
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| Publikation (Nr.) |
 copernicus.org/nhess-10-2589-2010.pdf |
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| Zusammenfassung |
| The evolution of modulational instability, or Benjamin-Feir instability is
investigated within the framework of the two-dimensional fully nonlinear
potential equations, modified to include wind forcing and viscous
dissipation. The wind model corresponds to the Miles' theory. The
introduction of dissipation in the equations is briefly discussed. Evolution
of this instability in the presence of damping was considered by
Segur et al. (2005a) and Wu et al. (2006). Their results were extended theoretically by
Kharif et al. (2010) who considered wind forcing and viscous dissipation within the
framework of a forced and damped nonlinear Schrödinger equation. The
marginal stability curve derived from the fully nonlinear numerical
simulations coincides with the curve obtained by Kharif et al. (2010) from a linear
stability analysis. Furthermore, it is found that the presence of wind
forcing promotes the occurrence of a permanent frequency-downshifting without
invoking damping due to breaking wave phenomenon. |
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