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Nonlinear Waves In Bounded Media: The Mathematics Of Resonance

2017-01-18 Technology & Engineering
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Release : 2017-01-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 354/5 ( reviews)

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Book Synopsis Nonlinear Waves In Bounded Media: The Mathematics Of Resonance by : Brian R Seymour

Download or read book Nonlinear Waves In Bounded Media: The Mathematics Of Resonance written by Brian R Seymour. This book was released on 2017-01-18. Available in PDF, EPUB and Kindle. Book excerpt: This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent. It involves both standing (unforced) waves and resonant oscillations due to external periodic forcing. The waves are both hyperbolic and dispersive. To achieve this aim, the book develops the necessary understanding of linear waves and the mathematical techniques of nonlinear waves before dealing with nonlinear waves in bounded media. The examples used come mainly from gas dynamics, water waves and viscoelastic waves.

Evolution of Extreme Waves and Resonances

2020-06-10 Science
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Release : 2020-06-10
Genre : Science
Kind : eBook
Book Rating : 018/5 ( reviews)

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Book Synopsis Evolution of Extreme Waves and Resonances by : Shamil U. Galiev

Download or read book Evolution of Extreme Waves and Resonances written by Shamil U. Galiev. This book was released on 2020-06-10. Available in PDF, EPUB and Kindle. Book excerpt: The theory of waves is generalized on cases of strongly nonlinear waves, multivalued waves, and particle–waves. The appearance of these waves in various continuous media and physical fields is explained by resonances and nonlinearity effects. Extreme waves emerging in different artificial and natural systems from atom scale to the Universe are explored. Vast amounts of experimental data and comparisons of them with the results of the developed theory are presented. The book was written for graduate students as well as for researchers and engineers in the fields of geophysics, nonlinear wave studies, cosmology, physical oceanography, and ocean and coastal engineering. It is designed as a professional reference for those working in the wave analysis and modeling fields.

Nonlinear Waves in Active Media

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 892/5 ( reviews)

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Book Synopsis Nonlinear Waves in Active Media by : Jüri Engelbrecht

Download or read book Nonlinear Waves in Active Media written by Jüri Engelbrecht. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: TIlis volume contains the contributions to the Euromech Colloquium No. 241 on Nonlinear Waves in Active Media at the Institute of Cybernetics of the Estonian Academy of Sciences, Tallinn, Estonia, USSR, September 27-30, 1988. The Co-chairmen of the Euromech Colloquium felt that it would be a good service to the community to publish these proceedings. First, the topic itself dealing with various wave processes with energy influx is extremely interesting and attracted a much larger number of participants than usual - a clear sign of its importance to the scientific community. Second, Euromech No. 241 was actually the first Euromech Colloquium held in the Soviet Union and could thus be viewed as a milestone in the extending scientific contacts between East and West. At the colloquium 50 researchers working in very different branches of sci ence met to lecture on their results and to discuss problems of common interest. An introductory paper by I. Engelbrecht presents the common motivation and background of the topics covered. Altogether 36 speakers presented their lectures, of which 30 are gathered here. The remaining six papers which will appear elsewhere are listed on page X. In addition, three contributions by authors who could not attend the colloquium are included. The two lectures given by A.S. Mikhailov, V.S. Davydov and V.S. Zykov are here published as one long paper.

Modeling of Extreme Waves in Technology and Nature, Two Volume Set

2022-05-30 Science
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Release : 2022-05-30
Genre : Science
Kind : eBook
Book Rating : 386/5 ( reviews)

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Book Synopsis Modeling of Extreme Waves in Technology and Nature, Two Volume Set by : Shamil U. Galiev

Download or read book Modeling of Extreme Waves in Technology and Nature, Two Volume Set written by Shamil U. Galiev. This book was released on 2022-05-30. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of Extreme Waves in Technology and Nature is a two-volume set, comprising Evolution of Extreme Waves and Resonances (Volume I) and Extreme Waves and Shock-Excited Processes in Structures and Space Objects (Volume II). The theory of waves is generalized on cases of extreme waves. The formation and propagation of extreme waves of various physical and mechanical nature (surface, elastoplastic, fracture, thermal, evaporation) in liquid and solid media, and in structural elements contacting with bubbly and cryogenic liquids are considered analytically and numerically. The occurrence of tsunamis, giant ocean waves, turbulence, and different particle-waves is described as resonant natural phenomena. Nonstationary and periodic waves are considered using models of continuum. The change in the state of matter is taken into account using wide-range determining equations. The desire for the simplest and at the same time general description of extreme wave phenomena that takes the reader to the latest achievements of science is the main thing that characterizes this book and is revolutionary for wave theory. A description of a huge number of observations, experimental data, and calculations is also given.

Nonlinear Waves

2009-01-08 Mathematics
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Release : 2009-01-08
Genre : Mathematics
Kind : eBook
Book Rating : 618/5 ( reviews)

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Book Synopsis Nonlinear Waves by : Lokenath Debnath

Download or read book Nonlinear Waves written by Lokenath Debnath. This book was released on 2009-01-08. Available in PDF, EPUB and Kindle. Book excerpt: The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

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