Two-dimensional nonlinear models are developed to account for abnormal surface ocean waves generation and propagation. These models are based on the KadomtsevPetviashvili equation, the 2D Benjamin-Ono equation and the 2D Gardner equation. Possible mechanisms of the waves formation suggested are the resonant interaction between semi-plane waves or waves with curved fronts or the transverse insta...

We reanalyse the probability for formation of extreme waves using the simple model of linear interference of a finite number of elementary waves with fixed amplitude and random phase fluctuations. Under these model assumptions no rogue waves appear when less than 10 elementary waves interfere with each other. Above this threshold rogue wave formation becomes increasingly likely, with appearance...

Omar Marcillo Sound waves traveling at frequencies between 0.05 and 20 Hertz are called infrasound waves. Ocean waves, meteorites (Evers et al., 2001), large earthquakes, and volcanic eruptions (Johnson, 2003) are among the natural phenomena that produce infrasound waves. Nuclear and chemical explosions can also generate infrasound waves. Infrasound waves tend to travel long horizontal distance...

In an X-ray binary system, the companion star feeds the compact neutron star with plasma materials via accretions. The spinning neutron star is likely covered with a thin “magnetized ocean” and may support magnetohydrodynamic (MHD) tidal waves. While modulating the thermal properties of the ocean, MHD tidal waves periodically shake the base of the stellar magnetosphere that traps energetic part...

About 40 years ago, Snodgrass and other oceanographers (1966) tracked ocean swell propagating across the entire Pacific Ocean. At about the same time, several investigators (including Benjamin and Feir) showed that a uniform train of plane waves of finite amplitude on deep water is unstable. Comparing these two results, each of which is highly cited, leads to the following question: in light of...

The interaction of tidal currents with sea-floor topography results in the radiation of internal gravity waves into the ocean interior. These waves are called internal tides and their dissipation due to nonlinear wave breaking and concomitant threedimensional turbulence could play an important role in the mixing of the abyssal ocean, and hence in controlling the large-scale ocean circulation. A...

We demonstrate – using linear scattering theory and an idealized, stratified, rotating ocean domain, with a flat bottom deep ocean and a straight continental slope and shelf – that a high-mode (mode 3) Poincare wave incident on the coastal margin can excite large amplitude leaky coastal trapped waves (CTWs) or leaky edge waves along the coastal margin dependent on the frequency and alongshore w...

Idealized scientific representations result from employing claims that we take to be false. It is not surprising, then, that idealizations are a prime example of allegedly inconsistent scientific representations. I argue that the claim that an idealization requires inconsistent beliefs is often incorrect and that it turns out that a more mathematical perspective allows us to understand how the ...