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Sea ice plays a crucial role in the climate system, particularly in the Marginal Ice Zone (MIZ), a transitional area consisting of fragmented ice between the open ocean and consolidated pack ice. As the MIZ expands, understanding its…

Geophysics · Physics 2024-10-31 Changhong Mou , Samuel N. Stechmann , Nan Chen

We investigate the hydroelastic wake created by a perturbation moving at constant speed along a thin elastic sheet floating at the surface of deep water. Using a high-resolution cross-correlation imaging technique, we characterize the waves…

A model-data inversion is applied to a very large observational dataset collected in the Southern Ocean north of the Ross Sea during late autumn to early winter, producing estimates of the frequency-dependent rate of dissipation by sea ice.…

Atmospheric and Oceanic Physics · Physics 2020-06-16 W. Erick Rogers , Michael H. Meylan , Alison L. Kohout

We consider an isotropic compressible non-dissipative fluid with broken parity subject to free surface boundary conditions in two spatial dimensions. The hydrodynamic equations describing the bulk dynamics of the fluid as well as the free…

Fluid Dynamics · Physics 2020-10-28 Alexander G. Abanov , Tankut Can , Sriram Ganeshan , Gustavo M. Monteiro

In this paper we study swimming of a model organism, the so-called Taylor's swimming sheet, in a viscoelastic fluid close to a solid boundary. This situation comprises natural habitats of many swimming microorganisms, and while previous…

Fluid Dynamics · Physics 2018-01-29 Thomas R. Ives , Alexander Morozov

Earth-like planets have anelastic mantles, whereas giant planets may have anelastic cores. As for the fluid parts of a body, the tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on its…

Earth and Planetary Astrophysics · Physics 2012-08-03 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

Laboratory experiments revealed that CO$_{2}$ ice particles stick less efficiently than H$_{2}$O ice particles, and there is an order of magnitude difference in the threshold velocity for sticking. However, the surface energies and elastic…

Earth and Planetary Astrophysics · Physics 2021-04-14 Sota Arakawa , Sebastiaan Krijt

Coastal erosion describes the displacement of sand caused by the movement induced by tides, waves or currents. Some of its wave phenomena are modeled by Helmholtz-type equations. Our purposes, in this paper are, first, to study optimal…

Numerical Analysis · Mathematics 2022-07-05 Mame Gor Ngom , Ibrahima Faye , Diaraf Seck

Ice melting into saline water plays a fundamental role in the dynamics near the ice-ocean interface in polar oceans. The physics of ice melting involves a non-trivial interplay between thermodynamics at the interface, hydrodynamic transport…

Fluid Dynamics · Physics 2026-01-27 Sofía Allende , Louis-Alexandre Couston , Simon Thalabard , Benjamin Favier

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch

A model of the extent of wave driven overwash into fields of sea ice floes is proposed. The extent model builds on previous work modelling wave overwash of a single floe by regular waves by including irregular incoming waves and random floe…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Jordan P. A Pitt , Luke G. Bennetts , Michael H. Meylan , Robert A. Massom , Alessandro Toffoli

A dispersion relation for gravity waves in water covered by disk-like impurities embedded in a viscous matrix is derived. The macroscopic equations are obtained by ensemble-averaging the fluid equations at the disk scale in the asymptotic…

Fluid Dynamics · Physics 2017-02-20 Francesca De Santi , Piero Olla

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

Fluid Dynamics · Physics 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

It is shown that viscoelastic wave dispersion and attenuation in a viscoelastic medium with a completely monotonic relaxation modulus is completely characterized by the phase speed and the dispersion-attenuation spectral measure. The…

Mathematical Physics · Physics 2013-03-11 Andrzej Hanyga

The dispersion relation is derived for the coherent waves in fluid or elastic media supporting viscous and thermal effects and containing randomly distributed spherical scatterers. The formula obtained is the generalization of Lloyd and…

Mathematical Physics · Physics 2012-02-15 Francine Luppé , Jean-Marc Conoir , Andrew N. Norris

Oceanic tides are a major source of tidal dissipation. They are a key actor for the orbital and rotational evolution of planetary systems, and contribute to the heating of icy satellites hosting a subsurface ocean. Oceanic tides are…

Earth and Planetary Astrophysics · Physics 2018-11-26 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar , Jérémy Leconte

This paper considers the problem of water wave scattering by a rectangular anisotropic elastic plate mounted on the ocean surface, with either free, clamped or simply-supported edges. The problem is obtained as an expansion over the dry…

This paper considers the asymptotic limit of small aspect ratio between vertical and horizontal spatial scales for viscous isothermal compressible flows. In particular, it is observed that fast vertical acoustic waves arise and induce an…

Analysis of PDEs · Mathematics 2023-05-16 Xin Liu , Edriss S. Titi

Quantifying kinetic energy (KE) and enstrophy transfer, mixing, and dissipation in the Arctic Ocean is key to understanding polar ocean dynamics, which are critical components of the global climate system. However, in ice-covered regions,…

Atmospheric and Oceanic Physics · Physics 2025-09-29 Minki Kim , Georgy E. Manucharyan , Michelle H. DiBenedetto , Ellen M. Buckley , Daniel M. Watkins , Monica M. Wilhelmus

Consider the wave propagation in a two-layered medium consisting of a homogeneous compressible air or fluid on top of a homogeneous isotropic elastic solid. The interface between the two layers is assumed to be an unbounded rough surface.…

Analysis of PDEs · Mathematics 2016-08-22 Yixian Gao , Peijun Li , Bo Zhang
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