Nonlinear Hyperbolic Problems
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Propagation And Interaction Of Singularities In Nonlinear Hyperbolic Problems
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Author : Michael Beals
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Propagation And Interaction Of Singularities In Nonlinear Hyperbolic Problems written by Michael Beals 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 book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. Its purpose is to give an overview of the use of microlocal analysis and commutators in the study of solutions to nonlinear wave equations. The weak singularities in the solutions to such equations behave up to a certain extent like those present in the linear case: they propagate along the null bicharacteristics of the operator. On the other hand. examples exhibiting singularities not present in the linear case can also be constructed. I have tried to present a crossection of both the regularity results and the singular examples. for problems on the interior of a domain and on domains with boundary. The main emphasis is on the case of more than one space dimen sion. since that case is treated in great detail in the paper of Rauch-Reed 159]. The results presented here have for the most part appeared elsewhere. and are the work of many authors. but a few new examples and proofs are given. I have attempted to indicate the essential ideas behind the arguments. so that only some of the results are proved in full detail. It is hoped that the central notions of the more technical proofs appearing in research papers will be illuminated by these simpler cases.
Nonlinear Hyperbolic Problems
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Author : Claude Carasso
language : en
Publisher: Springer
Release Date : 2006-11-15
Nonlinear Hyperbolic Problems written by Claude Carasso and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hyperbolic systems than with numerical methods. The volume provides an excellent up-to-date review of the current research trends in this area.
Nonlinear Hyperbolic Problems
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Author : Claude Carasso
language : en
Publisher: Springer
Release Date : 2006-11-14
Nonlinear Hyperbolic Problems written by Claude Carasso 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.
The papers included in this proceedings volume are mostly original research papers, dealing with life-span of waves, nonlinear interaction of waves, and various applications to fluid mechanics.
Nonlinear Hyperbolic Problems Theoretical Applied And Computational Aspects
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Author : Andrea Donato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Nonlinear Hyperbolic Problems Theoretical Applied And Computational Aspects written by Andrea Donato 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 2013-03-08 with Technology & Engineering categories.
Nonlinear Hyperbolic Problems
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Author : Claude Carasso
language : en
Publisher:
Release Date : 2014-01-15
Nonlinear Hyperbolic Problems written by Claude Carasso and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Some Problems On Nonlinear Hyperbolic Equations And Applications
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Author : Tatsien Li
language : en
Publisher: World Scientific
Release Date : 2010-09-21
Some Problems On Nonlinear Hyperbolic Equations And Applications written by Tatsien Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-21 with Mathematics categories.
This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.
Nonlinear Hyperbolic Equations Theory Computation Methods And Applications
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Author : Josef Ballmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Nonlinear Hyperbolic Equations Theory Computation Methods And Applications written by Josef Ballmann 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 2013-03-08 with Technology & Engineering categories.
On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and it·s applications in Continuum Mechanics and Aerodynamics. The second conference toolc place in Aachen, FRG, March 14-18, 1988. The number of more than 200 participants from more than 20 countries all over the world and about 100 invited and contributed papers, well balanced between theory, numerical analysis and applications, do not leave any doubt that it was the right decision to start this cycle of conferences, of which the third will be organized in Sweden in 1990. ThiS volume contains sixty eight original papers presented at the conference, twenty two cif them dealing with the mathematical theory, e.g. existence, uniqueness, stability, behaviour of solutions, physical modelling by evolution equations. Twenty two articles in numerical analysis are concerned with stability and convergence to the physically relevant solutions such as schemes especially deviced for treating shoclcs, contact discontinuities and artificial boundaries. Twenty four papers contain multidimensional computational applications to nonlinear waves in solids, flow through porous media and compressible fluid flow including shoclcs, real gas effects, multiphase phenomena, chemical reactions etc. The editors and organizers of the Second International Conference on Hyperbolic Problems would lilce to thanlc the Scientific Committee for the generous support of recommending invited lectures and selecting the contributed papers of the conference.
Hyperbolic Problems
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Author : Song Jiang
language : en
Publisher: World Scientific
Release Date : 2012
Hyperbolic Problems written by Song Jiang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical algorithms. Due to recent rapid development of computers, more and more scientists use hyperbolic partial differential equations and related evolutionary equations as basic tools when proposing new mathematical models of various phenomena and related numerical algorithms.This book contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of OC Hyperbolic Partial Differential EquationsOCO. It is aimed at mathematicians, researchers in applied sciences and graduate students."
Nonlinear Hyperbolic Problems Theoretical Applied And Computational Aspects
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Author : Andrea Donato
language : en
Publisher:
Release Date : 1993
Nonlinear Hyperbolic Problems Theoretical Applied And Computational Aspects written by Andrea Donato and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Differential equations, Hyperbolic categories.
Semi Linear Hyperbolic Problems In Bounded Domains
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Author : Alain Haraux
language : en
Publisher: CRC Press
Release Date : 1987-01-01
Semi Linear Hyperbolic Problems In Bounded Domains written by Alain Haraux and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.
The opening chapter provides background information on the basic functional setting, semi-groups and the abstract wave equation, almost periodicity and the wave equation, and technical tools. Succeeding chapters cover the initial value problem, asymptotics in autonomous cases, non-resonance in the purely dissipative case, stability of periodic and almost-periodic solutions, oscillation properties in the conservative case, and global properties of the full equation. Includes bibliographic references and indexes by author and subject.