Hyperbolic Systems Of Balance Laws

Author : Alberto Bressan
Publisher : Springer
ISBN 13 : 3540721878
Total Pages : 365 pages
Book Rating : 4.71/5 ( download)

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Download or read book Hyperbolic Systems of Balance Laws written by Alberto Bressan and published by Springer. This book was released on 2007-05-26 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Philippe G. LeFloch
Publisher : Springer Science & Business Media
ISBN 13 : 9783764366872
Total Pages : 1010 pages
Book Rating : 4.77/5 ( download)

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Download or read book Hyperbolic Systems of Conservation Laws written by Philippe G. LeFloch and published by Springer Science & Business Media. This book was released on 2002-07-01 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.

Author : Cleopatra C. Christoforou
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.39/5 ( download)

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Download or read book Hyperbolic Systems of Balance Laws Via Vanishing Viscosity written by Cleopatra C. Christoforou and published by . This book was released on 2004 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Georges Bastin
Publisher : Birkhäuser
ISBN 13 : 3319320629
Total Pages : 317 pages
Book Rating : 4.25/5 ( download)

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Download or read book Stability and Boundary Stabilization of 1-D Hyperbolic Systems written by Georges Bastin and published by Birkhäuser. This book was released on 2016-07-26 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Constantine M. Dafermos
Publisher : Springer Science & Business Media
ISBN 13 : 3540290893
Total Pages : 636 pages
Book Rating : 4.96/5 ( download)

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Download or read book Hyperbolic Conservation Laws in Continuum Physics written by Constantine M. Dafermos and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws. The second edition contains a new chapter recounting exciting recent developments on the vanishing viscosity method. Numerous new sections introduce newly derived results. From the reviews: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws." --Zentralblatt MATH

Author : Peter D. Lax
Publisher : SIAM
ISBN 13 : 0898711770
Total Pages : 55 pages
Book Rating : 4.76/5 ( download)

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Download or read book Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves written by Peter D. Lax and published by SIAM. This book was released on 1973-01-01 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : C. M. Dafermos
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.47/5 ( download)

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Download or read book Hyperbolic Systems of Balance Laws with Inhomogeneity and Dissipation written by C. M. Dafermos and published by . This book was released on 1980 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Giacomo Albi
Publisher : Springer Nature
ISBN 13 : 3031298756
Total Pages : 241 pages
Book Rating : 4.52/5 ( download)

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Download or read book Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems written by Giacomo Albi and published by Springer Nature. This book was released on 2023-06-02 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : C. M. Dafermos
Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302102038
Total Pages : 466 pages
Book Rating : 4.31/5 ( download)

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Download or read book 连续介质物理中的双曲守恒律(天元基金影印系列丛书) written by C. M. Dafermos and published by 清华大学出版社有限公司. This book was released on 2005 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : François Bouchut
Publisher : Springer Science & Business Media
ISBN 13 : 9783764366650
Total Pages : 148 pages
Book Rating : 4.56/5 ( download)

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Download or read book Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws written by François Bouchut and published by Springer Science & Business Media. This book was released on 2004-06-25 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms