Title: Mean flow modelling in high-order nonlinear Schr\"odinger equations.

The evaluation and consideration of the mean flow in wave evolution equations
are necessary for the accurate prediction of fluid particle trajectories under
wave groups, with relevant implications in several domains, from the transport
of p [...]

Authors: Alexis Gomel, Corentin Montessuit, Andrea Armaroli, Debbie Eeltink, Amin Chabchoub, Jérôme Kasparian, Maura Brunetti

Link: http://arxiv.org/abs/2306.14254

Title: Non-homogeneous approximation for the kurtosis evolution of shoaling rogue waves.

Bathymetric changes have been experimentally shown to affect the occurrence
of rogue waves. We recently derived a non-homogeneous correction to the
spectral analysis, allowing to describe the evolution of the rogue wave
probability over a shoal. Here, we extend this work to the evolution of the
excess kurtosis o [...]

Authors: Saulo Mendes, Jérôme Kasparian

Link: http://arxiv.org/abs/2301.01996

Title: Scattering of swell by currents.

The refraction of surface gravity waves by currents leads to spatial
modulations in the wave field and, in particular, in the significant wave
height. We examine this phenomenon in the case of waves scattered by a
localised current feature, assuming (i) the smallness of the ratio between
current velocity and wave group speed, and ( [...]

Authors: Han Wang, Ana B. Villas Bôas, William R. Young, Jacques Vanneste

Link: http://arxiv.org/abs/2305.12163

Title: Non-homogeneous approximation for the kurtosis evolution of shoaling rogue waves.

Bathymetric changes have been experimentally shown to affect the occurrence
of rogue waves. In view of the central role played by the excess kurtosis of
the surface elevation in estimating rare event probabilities, we translate the
recently determined evolution of the rogue wave probability over a shoal into
tha [...]

Authors: Saulo Mendes, Jérôme Kasparian

Link: http://arxiv.org/abs/2301.01996

Title: Saturation of Rogue Wave Amplification over Steep Shoals.

The shoaling of surface gravity waves has been acknowledged as a mechanism of
rogue wave formation. This problem is generally reduced to water waves passing
over a step, but non-equilibrium physics allows finite slopes to be considered.
Using non-homogeneous spectral analysis of a spatially varying energy density
ratio we describe the [...]

Authors: Saulo Mendes, Jérôme Kasparian

Link: http://arxiv.org/abs/2207.13869

Title: Saturation of Rogue Wave Amplification over Steep Shoals.

The shoaling of surface gravity waves has been acknowledged as a mechanism of
rogue wave formation. This problem is generally reduced to water waves passing
over a step, but non-equilibrium physics allows finite slopes to be considered.
Using non-homogeneous spectral analysis of a spatially varying energy density
ratio we describe the [...]

Authors: Saulo Mendes, Jérôme Kasparian

Link: http://arxiv.org/abs/2207.13869

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Title: Robustness of competing climatic states.

The climate is a non-equilibrium system undergoing the continuous action of
forcing and dissipation. Under the effect of a spatially inhomogeneous
absorption of solar energy, all the climate components dynamically respond
until an approximate steady state (or attractor) is reache [...]

Authors: Charline Ragon, Valerio Lembo, Valerio Lucarini, Christian Vérard, Jérôme Kasparian, Maura Brunetti

Link: http://arxiv.org/abs/2102.09418