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Hyperbolic Systems Of Balance Laws


Hyperbolic Systems Of Balance Laws
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Hyperbolic Systems Of Balance Laws


Hyperbolic Systems Of Balance Laws
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Author : Alberto Bressan
language : en
Publisher: Springer
Release Date : 2007-05-26

Hyperbolic Systems Of Balance Laws written by Alberto Bressan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Mathematics categories.


This volume includes four lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan introduces the vanishing viscosity approach and clearly explains the building blocks of the theory. Serre focuses on existence and stability for discrete shock profiles. The lectures by Williams and Zumbrun deal with the stability of multidimensional fronts.



Stability And Boundary Stabilization Of 1 D Hyperbolic Systems


Stability And Boundary Stabilization Of 1 D Hyperbolic Systems
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Author : Georges Bastin
language : en
Publisher: Birkhäuser
Release Date : 2016-07-26

Stability And Boundary Stabilization Of 1 D Hyperbolic Systems written by Georges Bastin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-26 with Mathematics categories.


This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a “backstepping” method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in real live applications of boundary feedback control. Stability and Boundary Stabilization of 1-D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible.



Hyperbolic Systems Of Balance Laws Via Vanishing Viscosity


Hyperbolic Systems Of Balance Laws Via Vanishing Viscosity
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Author : Cleopatra C. Christoforou
language : en
Publisher:
Release Date : 2004

Hyperbolic Systems Of Balance Laws Via Vanishing Viscosity written by Cleopatra C. Christoforou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Cauchy problem categories.




Entropy And Global Solutions For Hyperbolic Systems Of Balance Laws


Entropy And Global Solutions For Hyperbolic Systems Of Balance Laws
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Author : Wen-An Yong
language : en
Publisher:
Release Date : 2004

Entropy And Global Solutions For Hyperbolic Systems Of Balance Laws written by Wen-An Yong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.




Advances In Numerical Methods For Hyperbolic Balance Laws And Related Problems


Advances In Numerical Methods For Hyperbolic Balance Laws And Related Problems
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Author : Giacomo Albi
language : en
Publisher: Springer Nature
Release Date : 2023-06-02

Advances In Numerical Methods For Hyperbolic Balance Laws And Related Problems written by Giacomo Albi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-02 with Mathematics categories.


A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are hyperbolic systems with source terms, kinetic equations, and convection-reaction-diffusion equations. This book collects research advances in numerical methods for hyperbolic balance laws and kinetic equations together with related modelling aspects. All the contributions are based on the talks of the speakers of the Young Researchers’ Conference “Numerical Aspects of Hyperbolic Balance Laws and Related Problems”, hosted at the University of Verona, Italy, in December 2021.



Systems Of Conservation Laws


Systems Of Conservation Laws
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Author : Yuxi Zheng
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Systems Of Conservation Laws written by Yuxi Zheng 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.


This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The only requisite for the reader is a knowledge of the elementary theory of partial differential equations. Key features of this work include: * broad range of topics, from the classical treatment to recent results, dealing with solutions to 2D compressible Euler equations * good review of basic concepts (1-D Riemann problems) * concrete solutions presented, with many examples, over 100 illustrations, open problems, and numerical schemes * numerous exercises, comprehensive bibliography and index * appeal to a wide audience of applied mathematicians, graduate students, physicists, and engineers Written in a clear, accessible style, the book emphasizes more recent results that will prepare readers to meet modern challenges in the subject, that is, to carry out theoretical, numerical, and asymptotical analysis.



Nonlinear Conservation Laws And Applications


Nonlinear Conservation Laws And Applications
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Author : Alberto Bressan
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-19

Nonlinear Conservation Laws And Applications written by Alberto Bressan 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 2011-04-19 with Mathematics categories.


This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13--31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of one-dimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients. In addition, there are a number of papers devoted to applications. These include: models of blood flow, self-gravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks.



Well Posedness Of Hyperbolic Systems Of Balance Laws Of Temple Type On Networks


Well Posedness Of Hyperbolic Systems Of Balance Laws Of Temple Type On Networks
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Author : Boby Gunarso
language : en
Publisher:
Release Date : 2023

Well Posedness Of Hyperbolic Systems Of Balance Laws Of Temple Type On Networks written by Boby Gunarso and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.




Numerical Mathematics And Advanced Applications


Numerical Mathematics And Advanced Applications
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Author : Karl Kunisch
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-19

Numerical Mathematics And Advanced Applications written by Karl Kunisch 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 2008-09-19 with Mathematics categories.


The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) is a series of conferences held every two years to provide a forum for discussion on recent aspects of numerical mathematics and their applications. The ?rst ENUMATH conference was held in Paris (1995), and the series continued by the one in Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), and Santiago de Compostela (2005). This volume contains a selection of invited plenary lectures, papers presented in minisymposia, and contributed papers of ENUMATH 2007, held in Graz, Austria, September 10–14, 2007. We are happy that so many people have shown their interest in this conference. In addition to the ten invited presentations and the public lecture, we had more than 240 talks in nine minisymposia and ?fty four sessions of contributed talks, and about 316 participants from all over the world, specially from Europe. A total of 98 contributions appear in these proceedings. Topics include theoretical aspects of new numerical techniques and algorithms, as well as to applications in engineering and science. The book will be useful for a wide range of readers, giving them an excellent overview of the most modern methods, techniques, algorithms and results in numerical mathematics, scienti?c computing and their applications. We would like to thank all the participants for the attendance and for their va- ablecontributionsanddiscussionsduringtheconference.Specialthanksgothe m- isymposium organizers, who made a large contribution to the conference, the chair persons, and all speakers.



Analysis Of Systems Of Conservation Laws


Analysis Of Systems Of Conservation Laws
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Author : Heinrich Freistuhler
language : en
Publisher: CRC Press
Release Date : 1998-12-30

Analysis Of Systems Of Conservation Laws written by Heinrich Freistuhler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-30 with Mathematics categories.


Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity. The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.