Nonlinear Waves In Bounded Media The Mathematics Of Resonance

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Nonlinear Waves In Bounded Media The Mathematics Of Resonance

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Author : Brian R Seymour
language : en
Publisher: World Scientific
Release Date : 2017-01-18

Nonlinear Waves In Bounded Media The Mathematics Of Resonance written by Brian R Seymour and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-18 with Technology & Engineering categories.

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

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Author : Shamil U. Galiev
language : en
Publisher: CRC Press
Release Date : 2020-06-10

Evolution Of Extreme Waves And Resonances written by Shamil U. Galiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-10 with Science categories.

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.

Modeling Of Extreme Waves In Technology And Nature Two Volume Set

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Author : Shamil U. Galiev
language : en
Publisher: CRC Press
Release Date : 2022-05-30

Modeling Of Extreme Waves In Technology And Nature Two Volume Set written by Shamil U. Galiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-30 with Science categories.

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.

Mathematics Of Nonlinear Science

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Author : Melvyn Stuart Berger
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Mathematics Of Nonlinear Science written by Melvyn Stuart Berger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Contains the proceedings of an AMS Special Session on the Mathematics of Nonlinear Science, held in Phoenix in January 1989. The area of research encompasses a large and rapidly growing set of ideas concerning the relationship of mathematics to science, in which the fundamental laws of nature are extended beyond common sense into new areas where the dual aspects of order and chaos abound.

The Journal Of The Acoustical Society Of America

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Author :
language : en
Publisher:
Release Date : 1991

The Journal Of The Acoustical Society Of America written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Music categories.

Siam Journal On Applied Mathematics

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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 1966

Siam Journal On Applied Mathematics written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Electronic journals categories.

Contains research articles on mathematical methods and their applications in the physical, engineering, biological, and medical sciences.

Introduction To Perturbation Methods

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Author : Mark H. Holmes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-05

Introduction To Perturbation Methods written by Mark H. Holmes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-05 with Mathematics categories.

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas. One hundred new pages added including new material on transcedentally small terms, Kummer's function, weakly coupled oscillators and wave interactions.

Extended Abstracts Summer 2016

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Author : Andrei Korobeinikov
language : en
Publisher: Springer
Release Date : 2018-11-27

Extended Abstracts Summer 2016 written by Andrei Korobeinikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-27 with Mathematics categories.

This volume contains extended abstracts outlining selected presentations given by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), which was dedicated to the mathematical theory and applications of multiple scale systems and systems with hysteresis, and held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 13th to 17th, 2016. The collection includes brief research articles on new results, preliminary work, open problems, and the outcomes of group work initiated during the workshop. The book addresses multiple scale phenomena, singular perturbations, phase transitions, and hysteresis phenomena occurring in mathematical, physical, economic, engineering and information systems. Its scope includes both new results in the theory of hysteresis, singularly perturbed systems and dynamical systems in general; and applications to the physical, chemical, biological, microbiological, economic, and engineering sciences, such as: elasto-plasticity and mechanical structures, damage processes, magnetic materials, photonics and optoelectronics, energy storage systems, hydrology, biology, semiconductor lasers, and shock phenomena in economic modeling. Given its breadth of coverage, the book offers a valuable resource for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active research areas.

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1974

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mechanics, Applied categories.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1992

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aeronautics categories.