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In order to improve the frequency dispersion effects of irrotational shallow water models in coastal oceanography, several full dispersion versions of classical models were formally derived in the literature. The idea, coming from G.…

Analysis of PDEs · Mathematics 2020-04-21 Louis Emerald

In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is derived from the Euler system in infinite depth (deep water)…

Pattern Formation and Solitons · Physics 2009-11-11 A. Kraenkel , J. Leon , M. A. Manna

We present here an empirical method aimed at decreasing the error in the significant wave height calculated through the Wave Watch model. The errors are calculated as the difference between the modeled and the locally observed measurement.…

Atmospheric and Oceanic Physics · Physics 2020-05-07 S Gremes Cordero , E. Rogers , Y. Fan

We offer to apply the powerful Dynamic Time Warping (DTW) algorithm to find the spreading rate variation by comparing profiles of marine magnetic anomalies with the synthetic field constructed by the magnetic polarity reference scale. For…

Geophysics · Physics 2017-12-12 S. A. Ivanov , S. A. Merkuriev

In this paper, we investigate the direct and indirect stability of locally coupled wave equations with local viscous damping on cylindrical and non-regular domains without any geometric control condition. If only one equation is damped, we…

Analysis of PDEs · Mathematics 2021-11-30 Mohammad Akil , Haidar Badawi , Serge Nicaise , Virginie Régnier

We study the stabilization and the wellposedness of solutions of the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation. The novelty of this paper is that we deal with the difficulty that the main…

Hydroelastic interactions between regular water waves and floating freshwater ice are investigated using laboratory experiments for a range of incident wave periods and steepnesses. It is shown that only incident waves with sufficiently…

Atmospheric and Oceanic Physics · Physics 2018-10-17 Azam Dolatshah , Filippo Nelli , Luke G. Bennetts , Michael H. Meylan , Alberto Alberello , Jason Monty , Alessandro Toffoli

Recently, two different proofs for large and intermediate-size solitary waves of the nonlocally dispersive Whitham equation have been presented, using either global bifurcation theory or the limit of waves of large period. We give here a…

Analysis of PDEs · Mathematics 2023-03-27 Mathias Nikolai Arnesen , Mats Ehrnstrom , Atanas G. Stefanov

The habitability of Enceladus' subsurface ocean and the detectability of potential biosignatures depend on efficient ocean circulation and suitable ocean conditions. Directly probing the ocean is challenging because it lies beneath a thick…

Earth and Planetary Astrophysics · Physics 2026-03-25 Wanying Kang , Yixiao Zhang

The issue of the equilibrium-range formation in the wind-wave spectrum is studied by a direct numerical simulation. The evolution equation of wind-wave spectrum is numerically solved with using an exact calculation of the Hasselmann kinetic…

Atmospheric and Oceanic Physics · Physics 2017-01-20 Vladislav Polnikov

The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict our attention to the 2D physical problems only (i.e. 1D wave…

Classical Physics · Physics 2020-02-20 Denys Dutykh

Gaining insight into the interaction between flexible piezoelectric structures and ocean waves can inform the development of compact, high-efficiency wave-energy converters that harvest renewable energy from the marine environment. In this…

On the basis of the author's earlier results, a new source function for a numerical wind-wave model optimized by the criterion of accuracy and speed of calculation is substantiated. The proposed source function includes (a) an optimized…

Atmospheric and Oceanic Physics · Physics 2010-06-30 Vladislav Polnikov

Many global circulation models predict supersonic zonal winds and large vertical shears in the atmospheres of short-period jovian exoplanets. Using linear analysis and nonlinear local simulations, we investigate hydrodynamic dissipation…

Earth and Planetary Astrophysics · Physics 2015-05-18 Jason Li , Jeremy Goodman

Many supervised machine learning methods have revolutionised the empirical modelling of complex systems. These empirical models, however, are usually "black boxes" and provide only limited physical explanations about the underlying systems.…

We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave in a two-layer fluid system. We show that interfacial…

Pattern Formation and Solitons · Physics 2019-07-29 Shixiao W. Jiang , Gregor Kovačič , Douglas Zhou

We investigate theoretically and experimentally the evaporation of liquid disks in the presence of natural convection due to a density difference between the vapor and the surrounding gas. From the analogy between thermal convection above a…

Fluid Dynamics · Physics 2017-10-17 Benjamin Dollet , François Boulogne

We investigate wind wave growth by direct numerical simulations solving for the two phase Navier-Stokes equations. We consider ratio of the wave speed $c$ to wind friction velocity $u_*$ from $c/u_*=$ 2 to 8, i.e. in the slow to…

Fluid Dynamics · Physics 2022-11-08 Jiarong Wu , Stéphane Popinet , Luc Deike

In this paper we study the behaviors of the energy of solutions of the wave equations with localized nonlinear damping in exterior domains.

Analysis of PDEs · Mathematics 2017-06-27 Moez Daoulatli

The evolution of crossing sea states and the emergence of rogue waves in such systems are studied via numerical simulations performed using a higher order spectral method to solve the free surface Euler equations with a flat bottom. Two…

Fluid Dynamics · Physics 2019-02-14 J. Brennan , J. M. Dudley , F. Dias