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In this paper, we derive an asymptotic closed--form expression for the error bound on extrapolation of doubly selective mobile MIMO wireless channels. The bound shows the relationship between the prediction error and system design…

Information Theory · Computer Science 2014-07-25 Ramoni Adeogun , Paul Teal , Pawel Dmochowski

The so-called indentation stiffness tomography technique for detecting the interior mechanical properties of an elastic sample with an inhomogeneity is analyzed in the framework of the asymptotic modeling approach under the assumption of…

Analysis of PDEs · Mathematics 2013-11-22 Ivan Argatov

In this paper we are concerned with a nonlocal system to model the propagation of internal waves in a two-layer interface problem with rigid lid assumption and under a Boussinesq regime for both fluids. The main goal is to investigate…

Analysis of PDEs · Mathematics 2017-12-22 A. Duran

In this paper, a new statistic feature of the discrete short-time amplitude spectrum is discovered by experiments for the signals of unvoiced pronunciation. For the random-varying short-time spectrum, this feature reveals the relationship…

Sound · Computer Science 2016-12-22 Xiaodong Zhuang

Propagation of the surface waves on the interface between an uniaxial hyperbolic material and an isotopical topological insulator is studied. The cases of the anisotropy axes is normal to interface or one is coplanar to interface are…

Optics · Physics 2017-06-20 Ekaterina Lyashko , Andrei Maimistov , Ildar Gabitov

We report on the numerical and theoretical study of the subcritical bifurcation of parametrically amplified waves appearing at the interface between two immiscible incompressible fluids when the layer of the lower fluid is very shallow. As…

Fluid Dynamics · Physics 2016-07-20 Nicolas Périnet , Claudio Falcón , Jalel Chergui , Damir Juric , Seungwon Shin

A few years ago various disparities for Laplacians on graphs and manifolds were discovered. The corresponding results are mostly related to volume growth in the context of unbounded geometry. Indeed, these disparities can now be resolved by…

Metric Geometry · Mathematics 2015-03-25 Matthias Keller

The propagation of compressional MHD waves is studied for an externally driven system. It is assumed that the combined action of the external sources and sinks of the entropy results in the harmonic oscillation of the entropy (and…

Astrophysics · Physics 2009-06-23 B. M. Shergelashvili , C. Maes , S. Poedts , T. V. Zaqarashvili

The propagation of water waves of finite depth and flat bottom is studied in the case when the depth is not small in comparison to the wavelength. This propagation regime is complementary to the long-wave regime described by the famous KdV…

Pattern Formation and Solitons · Physics 2024-05-31 Rossen I. Ivanov

The basic ideas of a homotopy-based multiple-variable method is proposed and applied to investigate the nonlinear interactions of periodic traveling waves. Mathematically, this method does not depend upon any small physical parameters at…

Fluid Dynamics · Physics 2011-08-01 Shijun Liao

We present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation and we consider two setups, where the wave propagation is along…

Mathematical Physics · Physics 2024-01-30 Liliana Borcea , Josselin Garnier

We report a detailed and systematic numerical study of wave propagation through a coherently amplifying random one-dimensional medium. The coherent amplification is modeled by introducing a uniform imaginary part in the site energies of the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sandeep K. Joshi , A. M. Jayannavar

The far field asymptotic of internal waves is constructed for the case when a point source of mass moves in a layer of arbitrarily stratified fluid with slowly varying bottom. The solutions obtained describe the far field both near the wave…

Fluid Dynamics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

A problem of amplitude reconstruction in terms of the given angular distribution is considered. Solution of this problem is not unique. A class of amplitudes, correspondent to one and the same angular distribution, forms a region in…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. N. Nikitin

We report the experimental observation of intermittency in a regime dominated by random shock waves on the surface of a fluid. We achieved such a nondispersive surface-wave field using a magnetic fluid subjected to a high external magnetic…

Fluid Dynamics · Physics 2023-09-29 Guillaume Ricard , Eric Falcon

In nonlinear dynamical systems with highly nonorthogonal linear eigenvectors, linear non-modal analysis is more useful than normal mode analysis in predicting turbulent properties. However, the non-trivial time evolution of non-modal…

Plasma Physics · Physics 2015-06-22 Brett Friedman , Troy A. Carter

In this paper, we are interested in studying the modulational dynamics of interfacial waves rising buoyantly along a conduit of a viscous liquid. Formally, the behavior of modulated periodic waves on large space and time scales may be…

Analysis of PDEs · Mathematics 2019-11-05 Mathew A. Johnson , Wesley R. Perkins

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

Optics · Physics 2017-07-12 Hamidreza Ramezani

Steady and unsteady linearised flow past a submerged source are studied in the small-surface-tension limit, in the absence of gravitational effects. The free-surface capillary waves generated are exponentially small in the surface tension,…

Fluid Dynamics · Physics 2019-02-20 Christopher J. Lustri , Ravindra Pethiyagoda , S. Jonathan Chapman

We follow the temporal evolution of mesoscopic intensity fluctuations and correlation in strongly localized samples. We find an initial burst in relative transmission fluctuations in random one dimensional (1D) samples due to fluctuations…

Disordered Systems and Neural Networks · Physics 2015-06-03 J. Wang , A. A. Chabanov , D. Y. Lu , Z. Q. Zhang , A. Z. Genack