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Local Peaks Search Method for Solving Lamb Waves’ Dispersion Equation of Laminated Structures and the Application [PDF]
To study the acoustic characteristics of sound scattered from laminated structures such as elastic plates and shells, it is usually required to solve the Lamb waves’ dispersion equations.
Jiayuan Gong, Hongyang Chen
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The Nikolaevskiy equation with dispersion [PDF]
The Nikolaevskiy equation was originally proposed as a model for seismic waves and is also a model for a wide variety of systems incorporating a neutral, Goldstone mode, including electroconvection and reaction-diffusion systems.
Eman Simbawa +6 more
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Propagation-Dispersion Equation
A {\em propagation-dispersion equation} is derived for the first passage distribution function of a particle moving on a substrate with time delays. The equation is obtained as the continuous limit of the {\em first visit equation}, an exact microscopic ...
Boon, Jean Pierre +2 more
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Reactimeter dispersion equation
The aim of this work is to derive and analyze a reactimeter metrological model in the form of the dispersion equation which connects reactimeter input/output signal dispersions with superimposed random noise at the inlet.
A.G. Yuferov
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Stable Lévy diffusion and related model fitting
A fractional advection-dispersion equation (fADE) has been advocated for heavy-tailed flows where the usual Brownian diffusion models fail. A stochastic differential equation (SDE) driven by a stable Lévy process gives a forward equation that matches the
Paramita Chakraborty, Xu Guo, Hong Wang
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Dispersive Estimates for Full Dispersion KP Equations [PDF]
AbstractWe prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Kadomtsev–Petviashvili equations. The proof of these estimates combines the stationary phase method with sharp asymptotics on asymmetric Bessel functions, which may be ...
Didier Pilod +3 more
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Numerical Methods for Fractional Reaction-Dispersion Equation with Riesz Space Fractional Derivative [PDF]
In this paper, a numerical solution of fractional reaction-dispersion equation with Riesz space fractional derivative has been presented. The algorithm for the numerical solution for this equation is based on two finite difference methods.
I. I. Gorial
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Solid–Melt Interface Stability during Directional Solidification: A Phenomenological Theory
A mathematical model is developed that makes it possible, within the framework of a single phenomenological approach, to investigate the stability of a planar phase boundary during directional solidification of binary alloy, taking into account the ...
O. P. Fedorov, A. G. Mashkovsky, and Ye. L. Zhivolub
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The present study aims to investigate Rayleigh wave propagation in an isotropic sandy layer overlying an isotropic sandy semi-infinite medium, with interface considered to be imperfect (slide contact and dislocation like model).
Dinesh Kumar Madan +2 more
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Interface Problems for Dispersive Equations [PDF]
The interface problem for the linear Schrödinger equations in one‐dimensional piecewise homogeneous domains is examined by providing an explicit solution in each domain. The location of the interfaces is known and the continuity of the wave function and a jump in their derivative at the interface are the only conditions imposed. The problem of two semi‐
Sheils, Natalie E., Deconinck, Bernard
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