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Materials with properties that are modulated in time are known to display wave phenomena showing energy increasing with time, with the rate mediated by the modulation. Until now there has been no accounting for material dissipation, which…

Applied Physics · Physics 2018-01-31 Daniel Torrent , William J. Parnell , Andrew N. Norris

The hydroelastic response of free floating viscoelastic covers is measured using Faraday waves on the surface of a vertically oscillated fluid layer. We systematically vary the thickness $d$ of the covers to investigate its effect on the…

Fluid Dynamics · Physics 2026-05-19 Hanna Pot , Bram Christiaens , Willem van de Water

We examine the nature of the ice-albedo feedback in a long standing approach used in the dynamic-thermodynamic modeling of sea ice. The central issue examined is how the evolution of the ice area is treated when modeling a partial ice cover…

Atmospheric and Oceanic Physics · Physics 2015-06-15 Woosok Moon , John S. Wettlaufer

We consider the wave equation in a bounded domain (eventually convex). Two kinds of inequality are described when occurs trapped ray. Applications to control theory are given. First, we link such kind of estimate with the damped wave…

Analysis of PDEs · Mathematics 2009-12-14 Kim Dang Phung

Air-sea exchange processes have been identified as essential for both short- and long-term atmospheric and ocean forecasts. The two phases of the fluid layer covering our planet interact across a vast range of scales that we need to explore…

By performing two parallel numerical experiments -- solving the dynamical Hamiltonian equations and solving the Hasselmann kinetic equation -- we examined the applicability of the theory of weak turbulence to the description of the time…

Atmospheric and Oceanic Physics · Physics 2011-01-04 V. E. Zakharov , A. O. Korotkevich , A. Pushkarev , D. Resio

We consider the stabilization problem on a manifold with boundary for a wave equation with measure-valued linear damping. For a wide class of measures, containing Dirac masses on hypersurfaces as well as measures with fractal support, we…

Analysis of PDEs · Mathematics 2025-03-10 Hans Christianson , Emmanuel Schenck , Michael Taylor

The effect of anharmonicity (coupling) in the field theory generally result in dissipation of plane waves. It has been appreciated that anharmonicity and ensuing dissipation of plane waves can be accompanied by the emergence of the gapped…

Statistical Mechanics · Physics 2021-06-07 K. Trachenko

We analyze modern operational models of wind wave prediction on the subject for compliance dissipation. Our numerical simulations from the "first principle" demonstrate that heuristic formulas for damping rate of free wind sea due to "white…

Fluid Dynamics · Physics 2016-04-06 A. I. Dyachenko , D. I. Kachulin , V. E. Zakharov

We study the approximate cloaking via transformation optics for electromagnetic waves in the time harmonic regime in which the cloaking device {\it only} consists of a layer constructed by the mapping technique. Due to the fact that…

Analysis of PDEs · Mathematics 2018-11-02 Hoai-Minh Nguyen , Loc Tran

Travelling and rotating waves are ubiquitous phenomena observed in time dependent PDEs modelling the combined effect of dissipation and non-linear interaction. From an abstract viewpoint they appear as relative equilibria of an equivariant…

Numerical Analysis · Mathematics 2018-10-30 Wolf-Jürgen Beyn , Denny Otten

Almost a century after the development of quantum mechanics, we still do not have a consensus on the process of collapse of wavefunctions. Some theories require the intervention of a conscious observer while some see it as a stochastic…

Quantum Physics · Physics 2021-10-11 Arnab Acharya , Pratik Jeware , Soumitro Banerjee

A theoretical model to explain the scattering process of wave attenuation in a marginal ice zone is developed. Many field observations offer wave energy decay in the form of exponential function with distance, and this is justified through…

Fluid Dynamics · Physics 2022-11-24 Takahito Iida , Atle Jensen

The discrete wave equation in a multidimensional uniform space with local defects and sources is considered. The characterization of all possible defect configurations corresponding to given amplitudes of waves at the receivers (detectors)…

Mathematical Physics · Physics 2016-04-28 Anton A. Kutsenko

Inhomogeneity generated waves, discovered more than a decade ago, play an important role in processes like energy transfer, turbulence generation, heating, etc. To understand the nature of these waves we developed the formalism that looks…

Plasma Physics · Physics 2019-03-14 Edisher Kaghashvili

It was discovered several decades ago that eddy covariance measurements systematically underestimate sensible and latent heat fluxes, creating an imbalance in the surface energy budget. Since then, many studies have addressed this problem…

Atmospheric and Oceanic Physics · Physics 2022-10-12 Luise Wanner , Marc Calaf , Matthias Mauder

A systematic and full description of the theory for a dissipation mechanism of wind wave energy in a spectral representation is given. As a basis of the theory, the fundamental is stated that the most general dissipation mechanism for wind…

Atmospheric and Oceanic Physics · Physics 2010-06-21 Vladislav G. Polnikov

We study the decay rate for the energy of solutions of a damped wave equation in a situation where the Geometric Control Condition is violated. We assume that the set of undamped trajectories is a flat torus of positive codimension and that…

Analysis of PDEs · Mathematics 2014-11-27 Matthieu Léautaud , Nicolas Lerner

Frequency-dependent acoustical loss due to a multitude of physical mechanisms is commonly modeled by multiple relaxations. For discrete relaxation distributions, such models correspond with causal wave equations of integer-order temporal…

Mathematical Physics · Physics 2013-03-27 Sven Peter Nasholm

This work investigates the first correction to the equilibrium phase space distribution and its effects on spectra and elliptic flow in heavy ion collisions. We show that the departure from equilibrium on the freezeout surface is the…

Nuclear Theory · Physics 2014-11-20 Kevin Dusling , Guy Moore , Derek Teaney