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Cauchy Problem For Quasilinear Hyperbolic Systems


Cauchy Problem For Quasilinear Hyperbolic Systems
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Cauchy Problem For Quasilinear Hyperbolic Systems


Cauchy Problem For Quasilinear Hyperbolic Systems
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Author : Liu Fagui
language : en
Publisher:
Release Date : 2006

Cauchy Problem For Quasilinear Hyperbolic Systems written by Liu Fagui and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.




Cauchy Problem For Quasilinear Hyperbolic Systems


Cauchy Problem For Quasilinear Hyperbolic Systems
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Author : De-xing Kong
language : en
Publisher:
Release Date : 2000-12

Cauchy Problem For Quasilinear Hyperbolic Systems written by De-xing Kong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12 with Applied mathematics categories.




Global Classical Solutions For Quasilinear Hyperbolic Systems


Global Classical Solutions For Quasilinear Hyperbolic Systems
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Author : Daqian Li
language : en
Publisher:
Release Date : 1994-09-06

Global Classical Solutions For Quasilinear Hyperbolic Systems written by Daqian Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-06 with Mathematics categories.


A systematic presentation of the global classical solution and the global classical discontinuous solution to quasilinear hyperbolic systems. This book is a result of the author's research on the Cauchy problem, boundary value problems, free boundary problems and the generalised Riemann problem.



On The Cauchy Problem For Quasilinear Hyperbolic Systems Of Partial Differential Functional Equations Of The First Order


On The Cauchy Problem For Quasilinear Hyperbolic Systems Of Partial Differential Functional Equations Of The First Order
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Author : Tomasz Człapiński
language : en
Publisher:
Release Date : 1989

On The Cauchy Problem For Quasilinear Hyperbolic Systems Of Partial Differential Functional Equations Of The First Order written by Tomasz Człapiński and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




Quasilinear Hyperbolic Systems And Dissipative Mechanisms


Quasilinear Hyperbolic Systems And Dissipative Mechanisms
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Author : Ling Hsiao
language : en
Publisher: World Scientific
Release Date : 1998-02-24

Quasilinear Hyperbolic Systems And Dissipative Mechanisms written by Ling Hsiao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-24 with Mathematics categories.


This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative behavior of solutions, such as the nonlinear diffusive phenomena caused by damping, and other phenomena (including phase transition) for the case with viscosity and heat diffusion. The second emphasis is to take the systems with the dissipation mechanism as an approach to approximating the corresponding system of quasilinear hyperbolic conservation laws - the zero-limit relaxation, or the zero-limit viscosity, and the related topic of nonlinear stability of waves.



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.



On The Cauchy Problem For Quasilinear Hyperbolic System Of Partial Differential Equations With A Retarded Argument


On The Cauchy Problem For Quasilinear Hyperbolic System Of Partial Differential Equations With A Retarded Argument
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Author : Zdzisław Kamont
language : en
Publisher:
Release Date : 1984

On The Cauchy Problem For Quasilinear Hyperbolic System Of Partial Differential Equations With A Retarded Argument written by Zdzisław Kamont and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.




Hyperbolic Systems Of Conservation Laws


Hyperbolic Systems Of Conservation Laws
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Author : Alberto Bressan
language : en
Publisher: Oxford University Press, USA
Release Date : 2000

Hyperbolic Systems Of Conservation Laws written by Alberto Bressan and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves. This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach. These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions. This volume is the first to present a comprehensive account of these new, fundamental advances. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. A set of problems, with varying difficulty is given at the end of each chapter to verify and expand understanding of the concepts and techniques previously discussed. For researchers, this book will provide an indispensable reference to the state of the art in the field of hyperbolic systems of conservation laws.



Global Smooth Solution Of Cauchy Problems For A Class Of Quasilinear Hyperbolic Systems


Global Smooth Solution Of Cauchy Problems For A Class Of Quasilinear Hyperbolic Systems
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Author : Ling Hsiao
language : en
Publisher:
Release Date : 1981

Global Smooth Solution Of Cauchy Problems For A Class Of Quasilinear Hyperbolic Systems written by Ling Hsiao 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.




Blowup For Nonlinear Hyperbolic Equations


Blowup For Nonlinear Hyperbolic Equations
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Author : Serge Alinhac
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Blowup For Nonlinear Hyperbolic Equations written by Serge Alinhac 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 2013-12-01 with Mathematics categories.


Solutions to partial differential equations or systems often, over specific time periods, exhibit smooth behaviour. Given sufficient time, however, they almost invariably undergo a brutal change in behaviour, and this phenomenon has become known as blowup. In this book, the author provides an overview of what is known about this situation and discusses many of the open problems concerning it.