Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, Peter D. Lax

Автор: Tai-Ping Liu
Название: Hyperbolic and Viscous Conservation Laws
ISBN: 0898714362 ISBN-13(EAN): 9780898714364
Издательство: Mare Nostrum (Eurospan)
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Цена: 54340.00 T
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Описание: An analysis of wave interactions for general systems of hyperbolic and viscous conservation laws. It explains the new wave phenomena from both a physical and a mathematical standpoint, starting with the basics of the theory for scalar conservation law and Lax`s solution of the Riemann problem.

Автор: Helge Holden; Nils H. Risebro
Название: Front Tracking for Hyperbolic Conservation Laws
ISBN: 3642627978 ISBN-13(EAN): 9783642627972
Издательство: Springer
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Цена: 74530.00 T
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Описание: This book offers a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of research. The text offers extensive examples, exercises with hints and answers and comprehensive appendices.

Автор: Gui-Qiang G. Chen; Helge Holden; Kenneth H. Karlse
Название: Hyperbolic Conservation Laws and Related Analysis with Applications
ISBN: 3642390064 ISBN-13(EAN): 9783642390067
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.

Автор: Gui-Qiang G. Chen; Helge Holden; Kenneth H. Karlse
Название: Hyperbolic Conservation Laws and Related Analysis with Applications
ISBN: 3662510987 ISBN-13(EAN): 9783662510988
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.

Автор: Bastin
Название: Stability and Boundary Stabilization of 1-D Hyperbolic Systems
ISBN: 3319320602 ISBN-13(EAN): 9783319320601
Издательство: Springer
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Цена: 88500.00 T
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Описание: 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.

Автор: Lu?s Barreira
Название: Dimension Theory of Hyperbolic Flows
ISBN: 3319005472 ISBN-13(EAN): 9783319005478
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book offers a comprehensive overview of dimension theory of hyperbolic flows. It includes a detailed discussion of major open problems in the area.