Last edited by Dugal
Sunday, August 16, 2020 | History

9 edition of Solitary Waves in Fluids (Advances in Fluid Mechanics) found in the catalog.

Solitary Waves in Fluids (Advances in Fluid Mechanics)

by R. H. J. Grimshaw

  • 326 Want to read
  • 37 Currently reading

Published by WIT Press (UK) .
Written in English

    Subjects:
  • Fluid mechanics,
  • Science,
  • Science/Mathematics,
  • Mechanics - Dynamics - Fluid Dynamics,
  • Waves & Wave Mechanics,
  • Fluid dynamics,
  • Korteweg-de Vries equation,
  • Solitons,
  • Earth Sciences - General

  • The Physical Object
    FormatHardcover
    Number of Pages183
    ID Numbers
    Open LibraryOL8960553M
    ISBN 101845641574
    ISBN 109781845641573

    The effect of a small amount of such dissipation on the time evolution of a solitary wave is obtained. In the cases treated the dissipative term is the Fourier transform of the linear damping. Damping of Solitary Waves: The Physics of Fluids: No 6Cited by: @article{osti_, title = {Solitary-wave solutions of the Benjamin equation}, author = {Albert, J P and Bona, J L and Restrepo, J M}, abstractNote = {Considered here is a model equation put forward by Benjamin that governs approximately the evolution of waves on the interface of a two-fluid system in which surface-tension effects cannot be ignored.

    Read the book Waves In Fluids (Cambridge Mathematical Library) by James Lighthill online or Preview the book. Please wait while the book is loading : customer reviews: waves in fluids Find helpful customer reviews and review ratings for Waves in Fluids at Read Waves in Fluids (Cambridge Mathematical Library) Mr Lighthill File Size: 42KB.   This article concerns the pairwise nonlinear interaction of solitary waves in the free surface of a body of water lying over a horizontal bottom. Unlike solitary waves in many completely integrable model systems, solitary waves for the full Euler equations do not collide elastically; after interactions, there is a nonzero residual wave that trails the post-collision solitary by:

    SIAM Journal on Applied Mathematics > Vol Issue 6 > /S Our principal focus is the traveling-wave solutions called solitary waves, and three aspects will be investigated. On a model for internal waves in rotating fluids. Applied Mathematics and Nonlinear Sciences , Cited by: Get this from a library! On the Spectral Stability of Internal Solitary Waves in Fluids with Density Stratification. [Andreas Klaiber].


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Solitary Waves in Fluids (Advances in Fluid Mechanics) by R. H. J. Grimshaw Download PDF EPUB FB2

After the initial observation by John Scott Russell of a solitary wave in a canal, his insightful laboratory experiments and the subsequent theoretical work of Boussinesq, Rayleigh and Korteweg and de Vries, interest in solitary waves in fluids lapsed until the mid s with the seminal paper of Zabusky and Kruskal, which described the discovery of the soliton.

J.P. Boyd, in Encyclopedia of Atmospheric Sciences (Second Edition), History of Solitary Waves. Solitary waves were discovered by the naval architect John Scott Russell in When a canal barge hit an underwater obstruction and stopped suddenly, Russell expected that the bow wave would dissolve into lots of little ripples through dispersion.

Solitary Waves in Fluids by R. Grimshaw,available at Book Depository with free delivery worldwide. Solitary waves in fluids.

[R Grimshaw;] Describes the role that soliton theory plays in fluids in several contexts. This book is divided into five chapters and covers the theory of the Korteweg-de A. Slunyaev & T. Talipova --Solitary waves in rotating fluids / T.R.

Akylas --Planetary solitary waves / J.P. Boyd --Envelope solitary waves. Read online Solitary Waves in Fluids - WIT Press book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library, you could find million book here by using search box in the header.

Roger Grimshaw sets out the two basic paradigms for solitary waves in fluids. After the initial observation by John Scott Russell of a solitary wave in a canal, his insightful laboratory experiments and the subsequent theoretical work of Boussinesq, Rayleigh and Korteweg and de Vries, interest in solitary waves in fluids lapsed until the mid 's with the seminal paper of Zabusky and Kruskal describing the discovery of the soliton.

solitary waves that occur on the planetary scale, where the earth’s rotation is a dominant effect. Finally, in Chapter 7 Roger Grimshaw presents an outline of the theory of envelope solitary waves, and the implications of that theory for gravity-capillary waves.

The Editor Loughborough, The most valuable topic in this book would be the theory of aeroacoustics which is developed by the auther. Everything is fundamental, but you can learn a great deal about waves which you cannot from other books. This book is a prerequisite to anyone who wants to talk about waves in by: The book Solitary Waves in Fluids edited by R.H.J.

Grimshaw summarizes recent advances in the field. The book concentrates on describing the basic the-ories of solitary waves beginning with the earliest KdV equation, from which a sin-gle soliton solution is solved, to.

This is a study of the runup of solitary waves on plane beaches. An approximate theory is presented for non-breaking waves and an asymptotic result is derived for the maximum runup of solitary waves.

A series of laboratory experiments is described to support the by: Book Information: Solitary Waves in Fluids, edited by R.H.J. Grimshaw, WIT Press,pages, many beautiful and applicable results of the physics and mathematics of solitary waves have appeared.

Among them, several are noteworthy: the single soliton solution to the Korteweg-de Vries (KdV) equation (Korteweg and de Vries, ), the Author: Quanan Zheng, R. Dwi Susanto. The steady motion of a flat surfboard propelled by a solitary wave is considered. The shape of the free surface and the flow of the fluid are determined numerically by series truncation for Cited by: Download Solitary-waves-in-plasmas-and-in-the-atmosphere ebook PDF or Read Online books in PDF, EPUB, this book covers the topic of solitary waves in fluids.

Category: Science Plasma Physics Reports. Author: This book is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics. Lecture Solitary waves Lecturer: Roger Grimshaw.

Write-up: Daisuke Takagi, Yiping Ma and Andrew Stewart J 1 Introduction A solitary wave is a wave which propagates without any temporal evolution in shape or size when viewed in the reference frame.

In mathematics and physics, a solitary wave can refer to. The solitary wave (water waves) or wave of translation, as observed by John Scott Russell inthe prototype for a soliton.; A soliton, a generalization of the wave of translation to general systems of partial differential equations; A topological defect, a generalization of the idea of a soliton to any system which is stable.

Derzho, OG & Grimshaw, RHJSolitary waves with vortex cores in stratified and rotated fluids. in Hydrodynamics IV. Theory and applications. Theory and applications. Yokohama State University, Yokohama Japan, pp.

-4th International conference on Author: Oleg G Derzho, Roger H J Grimshaw. In book: Solitary Waves in Fluids, Chapter: 4, Publisher: WIT Press, Editors: aw, pp – describing internal solitary waves in the density-stratified fluids.

The waves may have. Waves on Fluid Interfaces solitary waves, ordered by amplitude, which then slowly separates in space. Such a property is a general one for the systems that can support solitary waves.

The book focuses on nonlinear instabilities of classical interfaces, physical structure of real interfaces, and the challenges these reactions pose. Homotopy stable spatially chaotic waves on an infinite interval.

Long-time averaged Euler and Navier-Stokes equations for rotating fluids. Validity of the Ginzburg-Landau approximation in 2-dimensional Poiseuille flow. Nonlinear waves and thermal convection. Bifurcations of traveling waves in extended systems. Edge waves and steady currents.

Finite-amplitude solitary waves in a two-layer fluid Article (PDF Available) in Journal of Applied Mechanics and Technical Physics 51(4) July with 34 Reads How we measure 'reads'. A solitary wave is a localized gravity wave that maintains its coherence and, hence, its visi-bility through properties of nonlinear hydrodynamics.

Solitary waves have nite amplitude and propagate with constant speed and constant shape. Soliton Solitons are solitary waves that have an elastic scattering property: they retain their shapeFile Size: 2MB. A comprehensive textbook in which the author describes the science of waves in liquids and gases.

Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to Reviews: 1.

It is a mystery that localized solitary waves exist at amplitudes that exceed our ability to solve the equations of fluid motion. Movie credit to Bruce Denardo, Bradley Barber, and Bill Wright.