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Rogue Waves in the Ocean, the Role of Modulational Instability, and Abrupt Changes of Environmental Conditions that Can Provoke Non Equilibrium Wave Dynamics

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The Ocean in Motion

Part of the book series: Springer Oceanography ((SPRINGEROCEAN))

Abstract

Modulational instability is an efficient mechanism for the generation of rogue waves in the limit of narrow-banded and long-crested wave fields. While such wave fields are easily achieved in laboratories, there appears to be lacking evidence that known occurrences of rogue waves in the ocean (e.g. Draupner “New Year” wave, Andrea wave) or ship accidents that could have been provoked by rogue waves (e.g. the Prestige accident) actually happened in sea states favorable for the modulational instability to have played an important role. The absence of modulational instability does not mean that nonlinear interactions are unimportant. Here we point out recent results that suggest large deviations from Gaussian statistics can happen due to nonlinearity in the absence of modulational instability, the key ingredient seems to be that the wave field is brought into a state of non-equilibrium.

Dedicated to Eugene G. Morozov on his 70th Birthday

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Acknowledgements

This work has been supported by the Research Council of Norway through the project “EXtreme wave WArning criteria for MARine structures” (ExWaMar) RCN 256466.

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  1. Department of Mathematics, University of Oslo, Oslo, Norway

    Karsten Trulsen

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  1. Karsten Trulsen
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Correspondence to Karsten Trulsen .

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  1. Instituto Pluridisciplinar, Universidad Complutense de Madrid, Madrid, Spain

    Manuel G. Velarde

  2. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia

    Roman Yu. Tarakanov

  3. Department of Arctic Technology, University Center in Svalbard, Longyearbyen, Norway

    Alexey V. Marchenko

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Trulsen, K. (2018). Rogue Waves in the Ocean, the Role of Modulational Instability, and Abrupt Changes of Environmental Conditions that Can Provoke Non Equilibrium Wave Dynamics. In: Velarde, M., Tarakanov, R., Marchenko, A. (eds) The Ocean in Motion. Springer Oceanography. Springer, Cham. https://doi.org/10.1007/978-3-319-71934-4_17

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