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Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Sheek Waves


Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Sheek Waves
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Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Sheek Waves


Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Sheek Waves
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Author : Peter D. Lax
language : en
Publisher:
Release Date : 1973

Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Sheek Waves written by Peter D. Lax and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.




Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock 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.



Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Waves


Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Waves
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Author : Herman Chernoff
language : en
Publisher:
Release Date : 1972

Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Waves written by Herman Chernoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Approximation theory categories.




Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Wawes


Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Wawes
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Author : Peter D. Lax
language : en
Publisher:
Release Date : 1973

Hyperbolic Systems Of Conservation Laws And The Mathematical Theory Of Shock Wawes written by Peter D. Lax and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.




Advances In The Theory Of Shock Waves


Advances In The Theory Of Shock Waves
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Author : Heinrich Freistühler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Advances In The Theory Of Shock Waves written by Heinrich Freistühler 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.


In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments.



Systems Of Conservation Laws 1


Systems Of Conservation Laws 1
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Author : Denis Serre
language : en
Publisher:
Release Date : 1999-05-27

Systems Of Conservation Laws 1 written by Denis Serre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-27 with Mathematics categories.


Graduate text on mathematical theory of conservation laws and partial differential equations.



Hyperbolic And Viscous Conservation Laws


Hyperbolic And Viscous Conservation Laws
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Author : Tai-Ping Liu
language : en
Publisher: SIAM
Release Date : 2000-01-01

Hyperbolic And Viscous Conservation Laws written by Tai-Ping Liu and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Mathematics categories.


Here is an in-depth, up-to-date analysis of wave interactions for general systems of hyperbolic and viscous conservation laws. This self-contained study of shock waves explains the new wave phenomena from both a physical and a mathematical standpoint. The analysis is useful for the study of various physical situations, including nonlinear elasticity, magnetohydrodynamics, multiphase flows, combustion, and classical gas dynamics shocks. The central issue throughout the book is the understanding of nonlinear wave interactions.



Nonstrictly Hyperbolic Conservation Laws


Nonstrictly Hyperbolic Conservation Laws
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Author : Barbara Lee Keyfitz
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Nonstrictly Hyperbolic Conservation Laws written by Barbara Lee Keyfitz 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 1987 with Mathematics categories.


The area of nonstrictly hyperbolic conservation laws is emerging as an important field, not only because it developed from applications of current interest, such as reservoir simulation, visco-elasticity, and multiphase flow, but also because the subject raises interesting mathematical questions of well-posedness, the structure of solutions, and admissibility criteria for weak solutions. The papers in this collection are based on talks presented at an AMS Special Session, held in Anaheim, California, in January 1985. Requiring some background in conservation laws, this collection will be of interest to research mathematicians working in the field of nonstrictly hyperbolic partial differential equations, as well as students who are learning the area and are looking for new applications and challenging problems in this field. The collection provides an overview of the field, examples of applications, descriptions of available techniques, and a bibliography of the literature.



Delta Shock Waves As Limits Of Vanishing Viscosity For Hyperbolic Systems Of Conservation Laws


Delta Shock Waves As Limits Of Vanishing Viscosity For Hyperbolic Systems Of Conservation Laws
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Author : Mathematical Sciences Research Institute (Berkeley, Calif.).
language : en
Publisher:
Release Date : 1991

Delta Shock Waves As Limits Of Vanishing Viscosity For Hyperbolic Systems Of Conservation Laws written by Mathematical Sciences Research Institute (Berkeley, Calif.). and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.




An Introduction To The Mathematical Theory Of Waves


An Introduction To The Mathematical Theory Of Waves
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Author : Roger Knobel
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

An Introduction To The Mathematical Theory Of Waves written by Roger Knobel 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 2000 with Mathematics categories.


This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as MathematicaR, MATLABR, or MapleR is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.