Cauchy Problem For Quasilinear Hyperbolic Systems
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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
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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.
This book is concerned with Cauchy problem for quasilinear hyperbolic systems. By introducing the concepts weak linear degeneracy and matching condition, we give a systematic presentation on the global existence, the large time behaviour and the blow-up phenomenon, particularly, the life span of C 1 solutions to the Cauchy problem with small and decaying initial data. Some successful applications of our general theory are given to the quasilinear canonical system related to the Monge-Ampére equation, the system of nonlinear three-wave interaction in plasma physics, the nonlinear wave equation with higher order dissipation, the system of one-dimensional gas dynamics with nonlinear dissipation, the system of motion of an elastic string, the system of plane elastic waves for hyperelastic materials and so on.
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.
New Trends In The Theory Of Hyperbolic Equations
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Author : Michael Reissig
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-21
New Trends In The Theory Of Hyperbolic Equations written by Michael Reissig 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 2006-03-21 with Mathematics categories.
Presenting several developments in the theory of hyperbolic equations, this book's contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of different non-linear hyperbolic models, and introduce new approaches based on microlocal methods.
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.
Global Propagation Of Regular Nonlinear Hyperbolic Waves
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Author : Tatsien Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-01
Global Propagation Of Regular Nonlinear Hyperbolic Waves written by Tatsien Li 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 2009-09-01 with Science categories.
This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically beginning with introductory material and leading to the original research of the authors. Topics are motivated with a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Aimed at researchers and graduate students in partial differential equations and related topics, this book will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves.
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.
Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Waves
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Author : Peter D. Lax
language : en
Publisher: SIAM
Release Date : 1973-01-01
Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Waves written by Peter D. Lax and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Technology & Engineering categories.
This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.
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.
Frontiers In Differential Geometry Partial Differential Equations And Mathematical Physics In Memory Of Gu Chaohao
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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 2014-03-18
Frontiers In Differential Geometry Partial Differential Equations And Mathematical Physics In Memory Of Gu Chaohao written by Mo-lin Ge and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-18 with Mathematics categories.
This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects.