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Exact expressions for all the steady-state fields (E, H, D, B) in uniaxial linear media composed of an arbitrary number of layers having arbitrary thicknesses subjected to normal incidence are derived. Generic boundary condition relations…

材料科学 · 物理学 2007-05-23 Pieder Beeli

We investigate the propagation of certain non-plane wave solutions to Maxwell's equations in both flat and curved spacetimes. We find that such solutions (or rather parts of them) exhibit accelerative behaviour, and in particular do not…

物理学史与哲学 · 物理学 2023-11-16 Felipe A. Asenjo , Sergio A. Hojman , Niels Linnemann , James Read

This paper is intended to study impact forces of breaking waves on a rigid wall based on a nonlinear potential-flow theory. This is a model problem for some technologically important design issues such as the impact of breaking waves on…

流体动力学 · 物理学 2014-03-13 Jian-Jun Shu

We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability $\mu (\mathbf{r}) $ and permittivity $% \epsilon (\mathbf{r}) $ to study the wave propagation. The general form of the wave equation is derived…

综合物理 · 物理学 2013-09-17 S. Habib Mazharimousavi , Ashkan Roozbeh , M. Halilsoy

We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part implicitly, we obtain a method which is not only unconditionally…

数值分析 · 数学 2024-07-01 Daniel Eckhardt , Marlis Hochbruck , Barbara Verfürth

We investigate the characteristics of magneto-acoustic surface waves propagating at a single density interface, in the presence of an inclined magnetic field. For linear wave propagation, dispersion relation is obtained and analytical…

太阳与恒星天体物理 · 物理学 2018-10-17 E. Vickers , I. Ballai , R. Erdélyi

This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal direction. The water density varies with depth and the waves are propagating under the force of gravity, over a flat…

偏微分方程分析 · 数学 2025-12-09 Cristina Gheorghe , Andrei Stan

A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam's inextensibility---local arc length preservation---rather than traditional extensible effects attributed to fully restricted…

偏微分方程分析 · 数学 2019-10-16 Maria Deliyianni , Varun Gudibanda , Jason Howell , Justin T. Webster

A pressure driven flow in contact interface between elastic solids with wavy surfaces is studied. We consider a strong coupling between the solid and the fluid problems, which is relevant when the fluid pressure is comparable with the…

流体动力学 · 物理学 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

The two-dimensional transient problem that is studied concerns a semi-infinite crack in an isotropic solid comprising an infinite strip and a half-plane joined together and having the same elastic constants. The crack propagates along the…

偏微分方程分析 · 数学 2015-10-08 Y. A. Antipov , A. V. Smirnov

The derivation of the equation of one-dimensional movement of a solitary shock wave is given. This derivation shows, that the differential equation of movement of a solitary plane shock wave in the channel with variable area, is exact, if…

流体动力学 · 物理学 2007-05-23 Serge A. Serov

We analyze experimentally the shape of a long elastic filament rotating in a viscous liquid. We identify a continuous but sharp transition from a straight to an helical shape, resulting from the competition between viscous stresses and…

流体动力学 · 物理学 2009-11-13 Naïs Coq , Olivia Du Roure , Joel Marthelot , Denis Bartolo , Marc Fermigier

This paper describes the results from a numerical estimation of the force exerted by long surface waves on a fixed and partially immersed rectangular structure. The topic is connected with the need of making decisions on the design,…

流体动力学 · 物理学 2021-01-22 Oleg Gusev , Gayaz Khakimzyanov , Leonid Chubarov

We discuss propagation of traveling waves in a blood filled elastic artery with an axially symmetric dilatation (an idealized aneurysm). The processes in the injured artery are modelled by equations for the motion of the wall of the artery…

流体动力学 · 物理学 2017-01-11 Elena Nikolova , Ivan P. Jordanov , Nikolay K. Vitanov

A numerical solution is presented for the natural convection from inclined wall plumes which arise from a line thermal source imbedded at the leading edge of an adiabatic plate with arbitrary tilt angle and embedded in a fluid-saturated…

流体动力学 · 物理学 2014-03-12 Jian-Jun Shu , Ioan Pop

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

数值分析 · 数学 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

We examine the network of forces to be expected in a static assembly of hard, frictionless spherical beads of random sizes, such as a colloidal glass. Such an assembly is minimally connected: the ratio of constraint equations to contact…

软凝聚态物质 · 物理学 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

In this paper, we study the structure and stability of line driven winds using numerical hydrodynamic simulations. We calculate the radiation force from an explicit non-local solution of the radiation transfer equation, rather than a…

天体物理学 · 物理学 2009-11-07 E. L. Gomez , R. J. R. Williams

For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given…

数学物理 · 物理学 2014-05-12 Sönke Hansen

The explicit form for the characteristic function of a stable distribution on the line is derived analytically by solving the associated functional equation and applying theory of regular variation, without appeal to the general…

概率论 · 数学 2016-04-26 E. J. G. Pitman , Jim Pitman