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Tuesday, July 28, 2020 | History

7 edition of Abstract non-linear wave equations found in the catalog.

Abstract non-linear wave equations

by Michael Reed

  • 333 Want to read
  • 33 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Nonlinear wave equations.,
  • Scattering (Mathematics)

  • Edition Notes

    StatementMichael Reed.
    SeriesLecture notes in mathematics ; 507, Lecture notes in mathematics (Springer-Verlag) ;, 507.
    Classifications
    LC ClassificationsQA3 .L28 no. 507, QC174.26.W28 .L28 no. 507
    The Physical Object
    Paginationvi, 128 p. ;
    Number of Pages128
    ID Numbers
    Open LibraryOL4875661M
    ISBN 100387076174
    LC Control Number76002551

    The travelling wave solutions to the nonlinear partial differential equation of 6th order are obtained for a solid having two different spatial scales introduced in the microstructure. Application to quasilinear wave equations and other forms follows immediately. Semilinear wave equations, obtained by adding a nonlinear term which need not be a perturbation to linear wave equations, have the form [1] utr - uxx +f (: G. Adomian.

    Part of the Lecture Notes in Physics book series (LNP, volume 73) M. Reed. [] Abstract Non-Linear Wave Equations, Lect. Notes in Math. No. (Springer-Verlag, Berlin). Google Scholar. Nonlinear invariant wave equations. In: Velo G., Wightman A.S. (eds) Invariant Wave Equations. Lecture Notes in Physics, vol Springer, Berlin Cited by: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions.

    () An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines. SIAM Journal on Applied Mathematics , Abstract | PDF ( KB)Cited by: Abstract We study the nonlinear wave equation involving the nonlinear damping term u t | u t | m −1 and a source term of type u | u | p −1. For 1 Cited by:


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Abstract non-linear wave equations by Michael Reed Download PDF EPUB FB2

Abstract non-linear wave equations. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book. Get this from a library. Abstract non linear wave equations. [Michael C Reed, mathématicien.; Michael Charles Reed, Physikomathematiker USA]. Abstract non-linear wave equations.

[Michael Reed] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0\n library. Abstract: This volume presents original research papers and expository articles from the conference in honor of Walter A.

Strauss's sixtieth birthday held at Brown University in Providence (RI). The book offers a collection of original papers and expository articles mainly devoted to the study of nonlinear wave equations. Not Available adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86AAuthor: R.

Dodd, J. Eilbeck, J. Gibbon. Book of Abstracts The Eleventh IMACS International Conference On Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory Athens, Georgia April 17—19, Sponsored by The International Association for Mathematics and Computers in Simulation (IMACS) The Computer Science Department, University of GeorgiaFile Size: 1MB.

Top- ics covered will be the experimental establishment of pseudo- spin, the analysis of edge states, and the role that nonlinearity plays in affecting their dynamics, the effect of lattice deforma- tions, the existence and stability of nonlinear modes, and the impact of parity/time symmetric Size: 1MB.

Genre/Form: Electronic books: Additional Physical Format: Print version: Reed, Michael, Abstract non-linear wave equations. Berlin ; New York: Springer-Verlag, Additional Physical Format: Print version: Reed, Michael, Abstract non-linear wave equations.

Berlin ; New York: Springer-Verlag, (DLC) *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 books with an ebook version. Also considered are: isolation of the Korteweg-de Vries equation in some physical examples, the Zakharov-Shabat/AKNS inverse method, kinks and the sine-Gordon equation, the nonlinear Schroedinger equation and wave resonance interactions, amplitude equations in unstable systems, and numerical studies of by: From the Back Cover.

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives.

It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem Cited by: 7.

Abstract: The theory of nonlinear wave equations in the absence of shocks began in the s. Despite a great deal of recent activity in this area, some major issues remain unsolved, such as sharp conditions for the global existence of solutions with arbitrary initial data, and the global phase portrait in the presence of periodic solutions and traveling waves.

The effectiveness of the method is illustrated with examples of nonlinear dissipative wave equation, KdV equations, nonlinear heat equation and Gas-Dynamic equation. View Show abstractAuthor: Dogan Kaya. This chapter discusses nonlinear equations in abstract spaces. Although basic laws generally lead to nonlinear differential and integral equations in many areas, linear approximations are usually employed for mathematical tractability and the use of superposition.

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established.

Publisher Summary This chapter focuses on the development of a theory of non-linear differential equations in cones. It discusses the basic theory of differential inequalities, proves the existence of maximal solutions, and presents comparison theorems.

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Home / Science Books / Waves & Wave Mechanics / Abstract Non-Linear Wave Equations. Abstract Non-Linear Wave Equations. by Michael Reed. Hardcover. Categories: Science Books. Buy Used - Good. $ USD Sold out. Add to. Book of Abstracts: The Fourth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena, Computation and Theory April[Taha, Thiab R.] on *FREE* shipping on qualifying offers.

Book of Abstracts: The Fourth IMACS International Conference on Nonlinear Evolution Equations and Wave PhenomenaManufacturer: University of Georgia Center for Continuing Education. ABSTRACT NONLINEAR WAVE EQUATIONS: EXISTENCE, LINEAR AND MULTI-LINEAR CASES, APPROXIMATION, STABILITY Norman W.

Bazley Mathematics Institute, University of Cologne West Germany 1. INTRODUCTION We consider the initial value problem for a nonlinear wave equation given by u" (t) + Au(t) + M(u(t)) = 0 u(0) = cp, (1) u» (0) = \.Author: Norman W. Bazley. Lectures on Non-linear Wave Equations by Sogge - Buy Lectures on Non-linear Wave Equations by Sogge.

Christopher D. () Hardcover by (ISBN:) from Amazon's Book Store. Free UK delivery on eligible orders. Abstract Non Linear Wave Equations - Springer - Abstract Non Linear Wave Equations. Authors: Michael C.

Reed Lecture Notes in /5(). Abstract Nonlinear Wave Equations: Existence, Linear, and Multilinear Cases, Approximation, Stability Stability Problems of Chemical Networks Stability and Generalized Hopf Bifurcation through a Reduction Principle Almost Periodicity and Asymptotic Behavior for the Solutions of a Nonlinear Wave EquationBook Edition: 1.Introduction.- 1.

Global solutions to wave equations - existence theorems.- 2. L^p - L^q-decay estimates for the linear we equation.- 3.

Linear symmetric hyperbolic systems.- Energy estimates Author: Reinhard Racke.