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Simple Waves And Their Interactions In Quasilinear Hyperbolic Systems


Simple Waves And Their Interactions In Quasilinear Hyperbolic Systems
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Simple Waves And Their Interactions In Quasilinear Hyperbolic Systems


Simple Waves And Their Interactions In Quasilinear Hyperbolic Systems
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Author : Alfred Grundland
language : en
Publisher:
Release Date : 1982

Simple Waves And Their Interactions In Quasilinear Hyperbolic Systems written by Alfred Grundland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Differential equations, Hyperbolic categories.




Quasilinear Hyperbolic Systems And Waves


Quasilinear Hyperbolic Systems And Waves
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Author : Alan Jeffrey
language : en
Publisher: Pitman Publishing
Release Date : 1976

Quasilinear Hyperbolic Systems And Waves written by Alan Jeffrey and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.


"The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.



Nonlinear Waves A Geometrical Approach


Nonlinear Waves A Geometrical Approach
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Author : Angela Slavova
language : en
Publisher: World Scientific Publishing
Release Date : 2018-11-16

Nonlinear Waves A Geometrical Approach written by Angela Slavova and has been published by World Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-16 with Mathematics categories.


This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics.Readers not familiar with the complicated methods used in the theory of the equations of mathematical physics (functional analysis, harmonic analysis, spectral theory, topological methods, a priori estimates, conservation laws) can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation (solitons, kinks, peakons, ovals, loops, rogue waves) are found and their interactions are studied and geometrically visualized. To do this, classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. At the end, the paradifferential approach is used.This volume is self-contained and equipped with simple proofs. It contains many exercises and examples arising from the applications in mechanics, physics, optics and, quantum mechanics.



Wave Phenomena Modern Theory And Applications


Wave Phenomena Modern Theory And Applications
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Author : C. Rogers
language : en
Publisher: Elsevier
Release Date : 1984-10-01

Wave Phenomena Modern Theory And Applications written by C. Rogers and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-10-01 with Science categories.


This volume contains 35 of the contributions to the international meeting Wave Phenomena: Modern Theory and Applications, held at the University of Toronto, Canada, at the end of June 1983.



Quasilinear Hyperbolic Systems And Their Applications To Water Waves


Quasilinear Hyperbolic Systems And Their Applications To Water Waves
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Author : John R. Mvungi
language : en
Publisher:
Release Date : 1981

Quasilinear Hyperbolic Systems And Their Applications To Water Waves written by John R. Mvungi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.




Nonlinear Functional Analysis And Its Applications


Nonlinear Functional Analysis And Its Applications
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Author : S.P. Singh
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Functional Analysis And Its Applications written by S.P. Singh 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 2012-12-06 with Mathematics categories.


A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee.



Nonlinear Waves


Nonlinear Waves
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Author : Peter R. Popivanov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2019

Nonlinear Waves written by Peter R. Popivanov and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematical physics categories.


This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics. Readers not familiar with the complicated methods used in the theory of the equations of mathematical physics (functional analysis, harmonic analysis, spectral theory, topological methods, a priori estimates, conservation laws) can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation (solitons, kinks, peakons, ovals, loops, rogue waves) are found and their interactions are studied and geometrically visualized. To do this, classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. At the end, the paradifferential approach is used. This volume is self-contained and equipped with simple proofs. It contains many exercises and examples arising from the applications in mechanics, physics, optics and, quantum mechanics.



Deformations Of Mathematical Structures Ii


Deformations Of Mathematical Structures Ii
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Author : Julian Lawrynowicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Deformations Of Mathematical Structures Ii written by Julian Lawrynowicz 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 2012-12-06 with Mathematics categories.


This volume presents a collection of papers on geometric structures in the context of Hurwitz-type structures and applications to surface physics. The first part of this volume concentrates on the analysis of geometric structures. Topics covered are: Clifford structures, Hurwitz pair structures, Riemannian or Hermitian manifolds, Dirac and Breit operators, Penrose-type and Kaluza--Klein-type structures. The second part contains a study of surface physics structures, in particular boundary conditions, broken symmetry and surface decorations, as well as nonlinear solutions and dynamical properties: a near surface region. For mathematicians and mathematical physicists interested in the applications of mathematical structures.



Quasilinear Hyperbolic Systems Compressible Flows And Waves


Quasilinear Hyperbolic Systems Compressible Flows And Waves
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Author : Vishnu D. Sharma
language : en
Publisher: CRC Press
Release Date : 2010-04-29

Quasilinear Hyperbolic Systems Compressible Flows And Waves written by Vishnu D. Sharma and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Mathematics categories.


Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field.After linking continuum mechanics and quasilinear partial di



Acoustic Interactions With Submerged Elastic Structures Part Iii Acoustic Propagation And Scattering Wavelets And Time Frequency Analysis


Acoustic Interactions With Submerged Elastic Structures Part Iii Acoustic Propagation And Scattering Wavelets And Time Frequency Analysis
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Author : Dieter Guicking
language : en
Publisher: World Scientific
Release Date : 2001-07-31

Acoustic Interactions With Submerged Elastic Structures Part Iii Acoustic Propagation And Scattering Wavelets And Time Frequency Analysis written by Dieter Guicking and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-31 with Science categories.


The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.