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Wednesday, August 5, 2020 | History

6 edition of Singular limits of dispersive waves found in the catalog.

Singular limits of dispersive waves

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  • 15 Currently reading

Published by Plenum Press in New York .
Written in English

    Subjects:
  • Wave equation -- Congresses,
  • Mathematical physics -- Asymptotic theory -- Congresses

  • Edition Notes

    Statementedited by N.M. Ercolani ... [et al.].
    SeriesNATO ASI Series., v. 320
    ContributionsErcolani, Nicolas Michael., North Atlantic Treaty Organization. Scientific Affairs Division.
    Classifications
    LC ClassificationsQC174.26.W28 S52 1994
    The Physical Object
    Paginationxiv, 369 p. :
    Number of Pages369
    ID Numbers
    Open LibraryOL1077678M
    ISBN 100306446286
    LC Control Number94000891

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    infinite number of waves of different frequencies If distribution is peaked around!,k Phase velocity v!! k Group velocity g= d! dk (velocity of envelope) In a dispersive medium pulse spreads out but mean position moves with group velocity N.B. g!c In a non-dispersive medium pulse maintains its shape d! dk =! k File Size: 1MB. 3. Singular limits and the entropy inequality 13 4. Examples of diusive-dispersive models 17 5. Kinetic relations and traveling waves 22 Part 1. SCALAR CONSERVATION LAWS Chapter II. The Riemann problem 1. Entropy conditions 29 2. Classical Riemann solver 31 3. Entropy dissipation function 36 4. Nonclassical Riemann solver for concave-convex ux.

    We consider solutions of hyperbolic conservation laws regularized with vanishing diffusion and dispersion terms. Following a pioneering work by Schonbek, we establish the convergence of the regularized solutions toward discontinuous solutions of the hyperbolic conservation law. The proof relies on the method of compensated compactness in the L2 by: Figure 8: Dispersion relation for deep water gravity waves. Dashed lines show the shallow water relation. the departure from shallow water behavior4 for kD > 1. In general, the most important di⁄erence is that, for deep water waves, the phase speed c =!=k is not independent of wavenumberŠ such waves are known as dispersive waves. File Size: KB.


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Singular limits of dispersive waves Download PDF EPUB FB2

Singular limits of dispersive waves. New York: Plenum Press, © (OCoLC) Material Type: Conference publication, Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Nicolas Michael Ercolani; North Atlantic Treaty Organization.

Scientific Affairs Division. Part of the NATO ASI Series book series (NSSB, volume ) Log in to check access. Buy eBook. USD Breaking Problem in Dispersive Hydrodynamics. Gennady A. El’, Alexander V. Gurevich, Alexander L.

Krylov. Nonlinear Waves and the Resonance. Walter. Singular Limits of Dispersive Waves. Editors: Ercolani, N.M., Gabitov, I.R., Levermore, C.D., Serre, D. (Eds.) Free Preview. Buy this book eB49 *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

velocity of dispersive waves di⁄ers from the phase speed, so in a wave packet like that shown in Fig. 7 the wave crests will move at a di⁄erent speed than the envelope. If c > c g (which, as we shall see, is the case for deep water waves), new wave crests appear at the rear of the wave packet, move forwardFile Size: KB.

Abstract. We consider a sequence of one-dimensional dispersive equations. These equations contain the KdV hierarchy as well as several higher order models arising in both physics and by: Bronski, JC & McLaughlin, DSemiclassical behavior in the NLS equation: Optical shocks -- focusing instabilities.

in Singular limits of dispersive waves. Lyon, NATO Advanced Science Institutes Series B: Physics, Plenum Press, New York, pp.

Cited by: Dispersionless (or quasi-classical) limits of integrable partial differential equations (PDE) arise in various problems of mathematics and physics and have been intensively studied in recent literature (see e.g.

references below). They typically arise when considering slowly modulated long waves of an integrable dispersive PDE system. Optical precursors in the singular and weak dispersion limits: Reply to comment Article (PDF Available) in Journal of the Optical Society of America B 28(3) August with 30 Reads.

A kinetic decomposition for singular limits of non-local conservation laws methods is not available but we will present several results on singular limits [5].

Nonlinear dispersive waves. In mathematics and physics, the Kadomtsev–Petviashvili equation – or KP equation, named after Boris Borisovich Kadomtsev and Vladimir Iosifovich Petviashvili – is a partial differential equation to describe nonlinear wave KP equation is usually written as: ∂ (∂ + ∂ + ∂) + ∂ = where = ±.The above form shows that the KP equation is a generalization to two spatial.

PDF File Singular Limits Of Dispersive Waves Nato Science Series B Closed 2. PDF File The Official Abms Directory Of Board Certified Medical Specialists 3. Download Barbecue Et Plancha Pour Les Nullissimes 4. [EBOOK] The Nfl In The s Pro Footballs Most Important Decade 5.

Download Big Book Of Su Doku 1 6. Animation 1 below shows propagation of dispersive wave packet and Animation 2 nondispersive wavepacket. In making the animation, sinusoidal waves are superposed for a dispersion relation, (The dispersion relation describes the ion acoustic wave in.

This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions.

It also introduces the reader to Price: $ Multiscale phenomena in nonlinear systems of mathematical physics, including random matrix theory and singular limits of dispersive waves. Modulation theory of nonlinear multiphase waves. Modulational and linearized stability of waves.

Integrable nonlinear systems. Soliton theory and methods of algebraic geometry. Complex analysis. In the second case, in addition to RWs, there are traveling wave solutions approximating both classical (Lax) and nonclassical (undercompressive) shock waves.

Despite the singular nature of the zero-diffusion limit and rather differing analytical approaches employed in the descriptions of dispersive and diffusive-dispersive regularization, the Cited by: Waves in a Dispersive Medium Dispersion causes the shape of a wave pulse to change as it travels If the wave speed depends only on the physical properties of the medium (i.e., the elastic and inertia properties of a mechanical medium, or the relative permeability and permittivity for EM waves) then the wave speed is a constant, independent of.

The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit Cited by: Additional Information: © PLENUM PUBLISHING CORPORATION.

Series Name: NATO ASI SERIES B: Issue or Number: Record Number: CaltechAUTHORS Cited by: 5. Nondispersive and Dispersive Waves. Nondispersive waves have the same velocity for all frequencies.

This includes waves on a uniform string, sound waves in air, and electromagnetic waves in free space. For each of these, there is a characteristic velocity of propagation that waves of all frequencies satisfy.

As a consequence, if a. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up of solutions, conservation laws, Hamiltonian systems, and others.Physica D 40 () North-Holland, Amsterdam NONLOCAL MODELS FOR NONLINEAR, DISPERSIVE WAVES* L.

ABDELOUHABa, J.L. BONAb, M. FELLANDb'd and J.-C. SAUTe ''Laboratoire d'Analyse Numique, BimentCNRS and Universitde Paris-Sud, Orsav, France h Department of Mathematics, The Pennsylvania State University, University Park, PAUSA 'Applied Cited by: Hence sound is non-dispersive over wide ranges, given stable atmospheric conditions.

Sometimes thunder is given as a counter-example, where a variety of sounds are heard following a lightning strike but this is not due to dispersion; rather it is the multiple branches of the pre-strike, the main strike, and the extended distances covered by the.