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 : 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.
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.
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.
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.
Systems Of Quasilinear Equations And Their Applications To Gas Dynamics
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Author : Boris Leonidovich Rozhdestvenski_
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-12-31
Systems Of Quasilinear Equations And Their Applications To Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ 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 1983-12-31 with Science categories.
This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.
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.
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.
Stability And Wave Propagation In Fluids And Solids
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Author : Giovanni Galdi
language : en
Publisher: Springer
Release Date : 2014-05-04
Stability And Wave Propagation In Fluids And Solids written by Giovanni Galdi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.