Recent Mathematical Methods In Nonlinear Wave Propagation
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Recent Mathematical Methods In Nonlinear Wave Propagation
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Author : Guy Boillat
language : en
Publisher: Springer
Release Date : 2006-11-14
Recent Mathematical Methods In Nonlinear Wave Propagation written by Guy Boillat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
These lecture notes of the courses presented at the first CIME session 1994 by leading scientists present the state of the art in recent mathematical methods in Nonlinear Wave Propagation.
Recent Mathematical Methods In Nonlinear Wave Propagation
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Author :
language : en
Publisher:
Release Date : 1996
Recent Mathematical Methods In Nonlinear Wave Propagation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Mathematical Studies In Nonlinear Wave Propagation
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Author : Dominic P. Clemence
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Mathematical Studies In Nonlinear Wave Propagation written by Dominic P. Clemence 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 2005 with Mathematics categories.
Lively discussions and stimulating research were part of a five-day conference on Mathematical Methods in Nonlinear Wave Propagation sponsored by the NSF and CBMS. This volume is a collection of lectures and papers stemming from that event. Leading experts present dynamical systems and chaos, scattering and spectral theory, nonlinear wave equations, optimal control, optical waveguide design, and numerical simulation. The book is suitable for a diverse audience of mathematical specialists interested in fiber optic communications and other nonlinear phenomena. It is also suitable for engineers and other scientists interested in the mathematics of nonlinear wave propagation.
Nonlinear Waves And Inverse Scattering Transform
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Author : Spencer P Kuo
language : en
Publisher: World Scientific
Release Date : 2023-06-26
Nonlinear Waves And Inverse Scattering Transform written by Spencer P Kuo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-26 with Science categories.
Nonlinear waves are essential phenomena in scientific and engineering disciplines. The features of nonlinear waves are usually described by solutions to nonlinear partial differential equations (NLPDEs). This book was prepared to familiarize students with nonlinear waves and methods of solving NLPDEs, which will enable them to expand their studies into related areas. The selection of topics and the focus given to each provide essential materials for a lecturer teaching a nonlinear wave course.Chapter 1 introduces 'mode' types in nonlinear systems as well as Bäcklund transform, an indispensable technique to solve generic NLPDEs for stationary solutions. Chapters 2 and 3 are devoted to the derivation and solution characterization of three generic nonlinear equations: nonlinear Schrödinger equation, Korteweg-de Vries (KdV) equation, and Burgers equation. Chapter 4 is devoted to the inverse scattering transform (IST), addressing the initial value problems of a group of NLPDEs. In Chapter 5, derivations and proofs of the IST formulas are presented. Steps for applying IST to solve NLPDEs for solitary solutions are illustrated in Chapter 6.
Mathematics Of Wave Phenomena
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Author : Willy Dörfler
language : en
Publisher: Springer Nature
Release Date : 2020-10-01
Mathematics Of Wave Phenomena written by Willy Dörfler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Mathematics categories.
Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.
Peter Lax Mathematician
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Author : Reuben Hersh
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-12-29
Peter Lax Mathematician written by Reuben Hersh 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 2014-12-29 with Biography & Autobiography categories.
This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. He is virtually unique as a preeminent leader in both pure and applied mathematics, fields which are often seen as competing and incompatible. Although he has been an academic for all of his adult life, his biography is not without drama and tragedy. Lax and his family barely escaped to the U.S. from Budapest before the Holocaust descended. He was one of the youngest scientists to work on the Manhattan Project. He played a leading role in coping with the infamous "kidnapping" of the NYU mathematics department's computer, in 1970. The list of topics in which Lax made fundamental and long-lasting contributions is remarkable: scattering theory, solitons, shock waves, and even classical analysis, to name a few. His work has been honored many times, including the Abel Prize in 2005. The book concludes with an account of his most important mathematical contributions, made accessible without heavy prerequisites. Reuben Hersh has written extensively on mathematics. His book with Philip Davis, The Mathematical Experience, won the National Book Award in science. Hersh is emeritus professor of mathematics at the University of New Mexico.
Proceedings Wascom 2005
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Author : Roberto Monaco
language : en
Publisher: World Scientific
Release Date : 2006
Proceedings Wascom 2005 written by Roberto Monaco and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
The book contains recent contributions in the field of waves propagation and stability in continuous media. In particular, the contributions consider discontinuity and shock waves, stability in fluid dynamics, small parameter problems, kinetic theories towards continuum models, non-equilibrium thermodynamics, and numerical applications. The volume is the fourth in a series published by World Scientific since 1999. The following distinguished authors contribute to the present book: S Bianchini, R Caflish, C Cercignani, Y Choquet-Bruhat, C Dafermos, L Desvillettes, V Giovangigli, H Gouin, I Muller, D Parker, B Straughan, M Sugiyama and W Weiss. Contents: On Whitham Equations for Camassa-Holm (S Abenda et al.); An Operational Description of Stock Markets (F Bagarello); Vortex Layers in the Small Viscosity Limit (R E Caflisch & M Sammartino); Integration of Partially Integrable Equations (R Conte); Waves and Vibrations in a Solid of Second Grade (M Destrade & G Saccomandi); Multicomponent Reactive Flows (V Giovangigli); Singularities for Prandtl''s Equations (G Lo Bosco et al.); Stability of Solitons of the ZakharovOCoRubenchik Equation (F Oliveira); Plain Waves and Vibrations in the Elastic Mixtures (M Svanadze); Extended Thermodynamics with Consistent Order (W Weiss); and other papers. Readership: Academics, researchers and post-graduates in mathematics and physics."
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.
Proceedings Wascom 2001
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Author : Roberto Monaco
language : en
Publisher: World Scientific
Release Date : 2002
Proceedings Wascom 2001 written by Roberto Monaco and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
First organized in 1981, the WASCOM conference to bring together researchers and scientists from all over the world to discuss problems, promote collaborations and shape future directions for research in the field of stability and wave propagation in continuous media.This book constitutes the proceedings of the 11th edition of the conference, the first of the third millennium. The main topics are: (1) Linear and nonlinear hyperbolic equations, conservation laws and specific aspects of wave propagation; (2) stability of systems of PDEs, with particular reference to those of fluid and solid mechanics; (3) extended thermodynamics and passage from microscopic to macroscopic description of the medium for systems characterized also by inelastic interactions at the kinetic scale.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Trend And Applications Of Mathematics To Mechanics
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Author : S. Rionero
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-11
Trend And Applications Of Mathematics To Mechanics written by S. Rionero 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 2006-09-11 with Technology & Engineering categories.
The book provides a collection of recent theoretical and methodological advances which can provide support and stimulus to scientists and scholars involved in research activity in the fields of interest.