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The problem of an electromagnetic wave scattering by a slab with two rough boundaries is solved by a small-perturbation method under the Rayleigh hypothesis. In order to obtain a perturbative development, we use a systematic procedure which…

Condensed Matter · Physics 2009-11-07 A. Soubret , G. Berginc , C. Bourrely

We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform total energy decay estimates together with a unique existence…

Analysis of PDEs · Mathematics 2017-06-14 Ryo Ikehata , Hiroshi Takeda

In a communication scheme, there exist points at the transmitter and at the receiver where the wave is reduced to a finite set of functions of time which describe amplitudes and phases. For instance, the information is summarized in…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Bernard Lacaze

It is shown that spatially periodic one-dimensional surface waves in shallow water behave almost linearly, provided large part of the energy is contained in sufficiently high frequencies. The amplitude is not required to be small (apart…

Fluid Dynamics · Physics 2010-02-22 M. B. Erdogan , N. Tzirakis , V. Zharnitsky

In the presence of collective flow a new model potential describing the interaction of the hard jet with scattering centers is derived based on the static color-screened Yukawa potential. The flow effect on jet quenching with detailed…

High Energy Physics - Phenomenology · Physics 2014-06-04 Luan Cheng , Jia Liu , Enke Wang

The authors consider the problem of recovering an observable from certain measurements containing random errors. The observable is given by a pseudodifferential operator while the random errors are generated by a Gaussian white noise. The…

Analysis of PDEs · Mathematics 2024-02-05 Pedro Caro , Cristóbal J. Meroño

The present work is designed to explore the effects of the time-dependent element diffusion on the mode trapping properties of DA white dwarf models with various thickness of the hydrogen envelope. Our predictions are compared with the…

Astrophysics · Physics 2009-11-07 O. G. Benvenuto , A. H. Corsico , L. G. Althaus , A. M. Serenelli

This paper analyses an emerging real-world phenomena in inverter-based renewable-dominated power systems, namely, asymmetry of frequency distribution. The paper first provides a rationale on why asymmetry reduces the "quality" of the…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Taulant Kerci , Federico Milano

Propagation of elastic waves in damaged media (concrete, rocks) is studied theoretically and numerically. Such materials exhibit a nonlinear behavior, with long-time softening and recovery processes (slow dynamics). A constitutive model…

Classical Physics · Physics 2021-04-26 Harold Berjamin , Bruno Lombard , Guillaume Chiavassa , Nicolas Favrie

We propose a general theory on the standing waves (quasiparticle interference pattern) caused by the scattering of surface states off step edges in topological insulators, in which the extremal points on the constant energy contour of…

Mesoscale and Nanoscale Physics · Physics 2012-07-26 Jing Wang , Wei Li , Peng Cheng , Canli Song , Tong Zhang , Peng Deng , Xi Chen , Xucun Ma , Ke He , Jin-Feng Jia , Qi-Kun Xue , Bang-Fen Zhu

In this work we derive evolution equations for the nonlinear behavior of a coasting beam under the influence of a resonator impedance. Using a renormalization group approach we find a set of coupled nonlinear equations for the beam density…

Accelerator Physics · Physics 2007-05-23 S. I. Tzenov , P. L. Colestock

Survival analysis concerns the study of timeline data where the event of interest may remain unobserved (i.e., censored). Studies commonly record more than one type of event, but conventional survival techniques focus on a single event…

Machine Learning · Computer Science 2023-03-01 Hylke C. Donker , Harry J. M. Groen

We study damped wave propagation problems phrased as abstract evolution equations in Hilbert spaces. Under some general assumptions, including a natural compatibility condition for initial values, we establish exponential decay estimates…

Analysis of PDEs · Mathematics 2023-12-01 Herbert Egger , Stefan Kurz , Richard Löscher

This paper continues the preceding paper on the problem of quantum dynamics on the lattice. Firstly we consider the multiple reflections of the wave function (Loschmidt echo). The phenomenon of wave function concentration on the impurity…

Mesoscale and Nanoscale Physics · Physics 2013-02-13 V. N. Likhachev , T. Yu. Astakhova , G. A. Vinogradov

The coherent control of wave absorption has important applications in areas such as energy harvesting, imaging, and sensing. However, most practical scenarios involve the absorption of partially coherent rather than fully coherent waves.…

Optics · Physics 2024-08-13 Cheng Guo , Shanhui Fan

A floating air bag, ballasted in water, expands and contracts as it heaves under wave action. Connecting the bag to a secondary volume via a turbine transforms the bag into a device capable of generating useful energy from the waves.…

Fluid Dynamics · Physics 2017-03-08 A. Kurniawan , J. R. Chaplin , D. M. Greaves , M. R. Hann

This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and relate the well-posedness of this set of equations to the…

Analysis of PDEs · Mathematics 2010-11-11 Pascal Noble , Luis Miguel Rodrigues

Love waves are antiplane elastic waves which propagate along the surface of a heterogeneous medium. Under time-harmonic regime, they are governed by a scalar equation of the Helmholtz type. We exploit the invariance of this governing…

Applied Physics · Physics 2023-04-14 Z. Chatzopoulos , A. Palermo , S. Guenneau , A. Marzani

A new statistical model for the combined effects of decoherence, energy redistribution and dissipation on electron transport in large quantum systems is introduced. The essential idea is to consider the electron phase information to be lost…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

We consider a wave equation with a time-dependent propagation speed, whose potential oscillations are controlled through bounds on its first and second derivatives and by limiting the integral of the difference with a fixed constant. We…

Analysis of PDEs · Mathematics 2024-10-16 Marina Ghisi , Massimo Gobbino
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