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Local Peaks Search Method for Solving Lamb Waves’ Dispersion Equation of Laminated Structures and the Application [PDF]
Sensors, 2023 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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Reactimeter dispersion equation
Nuclear Energy and Technology, 2016 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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Dispersive Estimates for Full Dispersion KP Equations [PDF]
Journal of Mathematical Fluid Mechanics, 2021 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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Nikolaevskiy equation with dispersion [PDF]
Physical Review E, 2010 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. It is known to exhibit chaotic dynamics at the onset of pattern formation, at least when the dispersive terms in the ...
Simbawa, Eman +2 more
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Numerical Methods for Fractional Reaction-Dispersion Equation with Riesz Space Fractional Derivative [PDF]
Engineering and Technology Journal, 2011 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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Interface Problems for Dispersive Equations [PDF]
Studies in Applied Mathematics, 2014 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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Solid–Melt Interface Stability during Directional Solidification: A Phenomenological Theory
Успехи физики металлов, 2023 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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Dispersion for the Schrödinger equation on networks [PDF]
Journal of Mathematical Physics, 2011 In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We give an explicit description of the solution of the linear Schrödinger equation with constant coefficients.
Banica, V., Ignat, L.I.
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International Journal of Applied Mechanics and Engineering, 2023 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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Dispersion in Shallow Moment Equations
Communications on Applied Mathematics and Computation, 2023 AbstractShallow moment models are extensions of the hyperbolic shallow water equations. They admit variations in the vertical profile of the horizontal velocity. This paper introduces a non-hydrostatic pressure to this framework and shows the systematic derivation of dimensionally reduced dispersive equation systems which still hold information on the ...
Ullika Scholz +2 more
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