Quasilinear Hyperbolic Systems And Waves
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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.
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
Quasilinear Hyperbolic Systems And Dissipative Mechanisms
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Author : Ling Hsiao
language : en
Publisher: World Scientific
Release Date : 1997
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 1997 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 System And Waves
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Author : Alan Jeffrey
language : en
Publisher:
Release Date : 1976
Quasilinear Hyperbolic System And Waves written by Alan Jeffrey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
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.
Large Time Behavior Of Solutions For General Quasilinear Hyperbolic Parabolic Systems Of Conservation Laws
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Author : Tai-Ping Liu
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Large Time Behavior Of Solutions For General Quasilinear Hyperbolic Parabolic Systems Of Conservation Laws written by Tai-Ping Liu 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 1997 with Mathematics categories.
We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the linearized system and the analysis of coupling of nonlinear diffusion waves, we obtain explicit expressions of the time-asymptotic behavior of the solutions. This yields optimal estimates in the integral norms. For most physical models, the viscosity matrix is not positive definite and the system is hyperbolic-parabolic, and not uniformly parabolic. This implies that the Green's function may contain Dirac [lowercase Greek]Delta-functions. When the corresponding inviscid system is non-strictly hyperbolic, the time-asymptotic state contains generalized Burgers solutions. These are illustrated by applying our general theory to the compressible Navier-Stokes equations and the equations of magnetohydrodynamics.
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.
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.
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 Propagation Of Regular Nonlinear Hyperbolic Waves
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Author : Tatsien Li
language : en
Publisher: Birkhäuser
Release Date : 2011-11-02
Global Propagation Of Regular Nonlinear Hyperbolic Waves written by Tatsien Li and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-02 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.