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Wednesday, July 22, 2020 | History

4 edition of Solitary waves in compressible media. found in the catalog.

Solitary waves in compressible media.

by M. C. Shen

  • 29 Want to read
  • 19 Currently reading

Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


The Physical Object
Pagination97 p.
Number of Pages97
ID Numbers
Open LibraryOL17869867M

  Flow in deformable porous 1 19 Variable Meaning Value used Dimension a pore spacing (grain size) m b constant in permeability 10& none matrix bulk viscosity 10'8- Pa 8 matrix shear viscosity 10'8 - Pa s f: T P melt shear viscosity Pa s Pf density of melt kg m-3 PS density of matrix kg ~ TABLE 1. ~mspieg/   The book presents the necessary overview of the functional analysis, spectral theory, and the existence and linear stability of solitary waves of the nonlinear Schrödinger equation. It also presents the necessary tools such as the limiting absorption principle and the Carleman estimates in the form applicable to the Dirac operator, and proves

Thermo-poro-elastic equations describing fluid migration through fluid-saturated porous media at depth in the crust are analyzed theoretically following recent formulations of Rice and Cleary (), McTigue () and Bonafede (). In this study these ideas are applied to a rather general model, namely to a deep hot and pressurized reservoir of fluid, which suddenly enters into contact 97M/abstract. Long, R. R. Solitary waves in one- and two-fluid systems. Tellus, 8, Long, R. R. Tractable models of steady-state stratified flow with ://

  () Numerical simulation of the ion-acoustic solitary waves in plasma based on lattice Boltzmann method. Advances in Space Research. () Improvement of the instability of compressible lattice Boltzmann model by shock-detecting :// The solitary waves of Camassa-Holm equation are smooth in the case k > 0 and peaked for k = 0. Their stability is considered in [16,17,18,26,27,36,37]. Stability of periodic travelling shallow


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Solitary waves in compressible media by M. C. Shen Download PDF EPUB FB2

To study internal solitary waves in compressible fluids two integrals of the equations of motion for an invisdd compressible fluid are derived. These integl:aJs, together with certain boundary conditions, are transformed to summa-ry 1.

equations for the displacement Get this from a library. Solitary waves in dispersive complex media: theory, simulation, applications. [V I︠U︡ Belashov; Sergey V Vladimirov] -- "This book is devoted to one of the most interesting and rapidly development areas of modern nonlinear physics and mathematics - the theoretical, analytical and advanced numerical study of the This paper deals with Solitary waves in compressible media.

book numerical verification of the theory developed by Derzho and Grimshaw (DG) (, Phys. Fluids 9(11), –) regarding solitary waves in stratified fluids with “The book aims to present a consistent theory of waves originating in hydrodynamics of incompressible and compressible fluids.

The book includes many exercises. Solving specially marked key exercises is assumed to be an essential part of the reading.” (Boris A. Malomed, zbMATH) › Mathematics › Computational Science & Engineering.

Solitary waves in incompressible deep fluids are described to the first order in the wave amplitude by the Benjamin–Davis–Ono equation [J. Fluid Mech. 29, (); J. Fluid Mech. 29, (); J. Phys. Soc. Jpn. 39, ()].This equation describes the balance between dispersion and weak nonlinear effects for long internal waves in a density stratified layer of fluid confined in It turns out that there is a variety of travelling waves, including solitary shock waves, solitary waves, periodic shock waves, etc.

Analytical expressions for all these waves are obtained. A new phenomenon is also found: a solitary wave can suddenly change into a periodic wave (with finite period).

This book is an English of the Russian original "Uedinennye volny v plazme i atmosfere". The authors introduce the theory of highly nonlinear phenomena in plasmas and in the atmosphere, and then study the development of these phenomena under the influence of various characteristics of the surrounding media.

A great deal of attention is devoted to recent progress in stability studies using the Although the main focus is on compressible fluid flow, the authors show how intimately gasdynamic waves are related to wave phenomena in many other areas of physical science.

Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical :// The amplitude and phase errors of the computed waves compare well with those computed by other methods, and in fact the only difference between the present model and that of Bona et al.

() is in the presence of an oscillatory tail behind the small solitary wave following the separation of the two :// Full text of "Solitary waves in running gases" See other formats NEW YOPs.; cv,r, POURANT INSTJTUTeT LIBRARr '• ^' Marker St.

New York, N.Y. IMM-NYU MAY NEW YORK UNIVERSITY COURANT INSTITUTE OF MATHEMATICAL SCIENCES Solitary Waves in Running Gases M. SHEN ^ PREPARED UNDER CONTRACT NONR(55) WITH THE OFFICE OF   I need to model example with breaking solitary wave in Fluent.

Can anyone provide some input how to do it. Is UDF (User Defined Function) the way to go. Does anyone have any predefined UDF functions for solitary waves. I tried to google a bit, but do not find any relevant information on that topic. Any help will be appreciated. Thank you, Krystian   1 longitudinal waves – the disturbance moves parallel to the direction of propagation.

Examples: sound waves, compressional elastic waves (P-waves in geophysics); 2 transverse waves – the disturbance moves perpendicular to the direction of propagation. Examples: waves on a string or membrane, shear waves (S-waves in geophysics), water waves,~tzielins/doc/ Solitary waves have been found in an adiabatic compressible atmosphere which, in ambient state, has winds and temperature gradient, generalizing our earlier results for the isothermal atmosphere.

Explicit results are obtained for the special case of linear temperature and linear wind distributions in the undisturbed conditions. An important result of the study is that the number of possible Pressure waves appear in a compressible liquid.

Pressure perturbation in a compressible fluid involves perturbation of density, velocity, and other parameters. In this case the velocity potential φ satisfies the wave equation ∂ 2 φ/∂t 2 − a 2 Δφ = 0 which describes propagation of the wave with the velocity of sound (an acoustic wave).The phase velocity of an acoustic wave U = a does Chapter 13 Discontinuity Surfaces: Shock Wave and Slip Line Existence of shock waves For reasons we will not analyze here, a supersonic flow can be the seat of shock - Selection from Handbook of Compressible Aerodynamics [Book]   These solitary waves depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium.

A high-order homogenized model confirms this effective dispersive behavior, and its solutions agree well with those obtained by direct simulation of the variable-coefficient :// This book offers comprehensive coverage of compressible flow phenomena and their applications and focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with contact surface, slip line or  › Physics › Classical Continuum Physics.

Solitary waves in a compressible atmosphere of finite or infinite height with arbitrary wind and density profiles are studied. Explicit expressions for the critical speed and the first‐order solution of the internal solitary waves are obtained by a perturbation scheme applied to the nonlinear equations and are expressed in terms of simple integrals of velocity and density profiles of the Vector solitary waves are nonlinear waves of coupled polarizations that propagate with constant velocity and shape.

In mechanics, they hold the potential to control locomotion, mitigate shocks and transfer information, among other functionalities. Recently, such elastic waves were numerically observed in compressible rubber-like :// We prove the existence of solitary waves in the KdV limit of two-dimensional FPU-type lattices using asymptotic analysis of nonlinear and singularly perturbed integral equations.

In particular, we generalize the existing results by Friesecke and Matthies since we allow for arbitrary propagation directions and non-unidirectional wave ://. This graduate level textbook covers the topics of sound waves, water waves and stability problems in fluids.

It also touches upon the subject of chaos which is related to stability problems. It aims to lead students in an accessible and efficient way to this important subject Book Description. This book is dedicated to compressible aerodynamic flows in the context of the inviscid fluid hypothesis.

Each chapter offers a simple theoretical presentation followed by an overview of practical calculation methods based on recent results, in order to make theoretical understanding easier and present current ://Solitons, solitary waves, and voidage disturbances in gas-fluidized beds - Volume - S.

E. Harris, D. G. Crighton