Hyperbolic Systems of Balance Laws Via Vanishing Viscosity
Author : Cleopatra C. Christoforou
Publisher :
Page : 224 pages
File Size : 42,9 MB
Release : 2004
Category : Cauchy problem
ISBN :
Author : Cleopatra C. Christoforou
Publisher :
Page : 224 pages
File Size : 42,9 MB
Release : 2004
Category : Cauchy problem
ISBN :
Author : Alberto Bressan
Publisher : Springer
Page : 365 pages
File Size : 15,27 MB
Release : 2007-05-26
Category : Mathematics
ISBN : 3540721878
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 : Constantine M. Dafermos
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 44,20 MB
Release : 2006-01-16
Category : Mathematics
ISBN : 3540290893
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 : Constantine M. Dafermos
Publisher : Springer
Page : 626 pages
File Size : 41,15 MB
Release : 2009-09-02
Category : Mathematics
ISBN : 9783540809647
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 : Georges Bastin
Publisher : Birkhäuser
Page : 317 pages
File Size : 16,8 MB
Release : 2016-07-26
Category : Mathematics
ISBN : 3319320629
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 : Philippe G. LeFloch
Publisher : Springer Science & Business Media
Page : 1010 pages
File Size : 44,25 MB
Release : 2002-07-01
Category : Mathematics
ISBN : 9783764366872
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 : C. M. Dafermos
Publisher : 清华大学出版社有限公司
Page : 466 pages
File Size : 29,93 MB
Release : 2005
Category : Conservation laws (Physics)
ISBN : 9787302102038
Author : Tai-Ping Liu
Publisher : SIAM
Page : 78 pages
File Size : 32,99 MB
Release : 2000-01-01
Category : Mathematics
ISBN : 0898714362
An in-depth analysis of wave interactions for general systems of hyperbolic and viscous conservation laws.
Author : Giacomo Albi
Publisher : SEMA SIMAI Springer Series
Page : 0 pages
File Size : 23,34 MB
Release : 2024-06-04
Category :
ISBN : 9783031298776
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 : Linus Richard Foy
Publisher :
Page : 170 pages
File Size : 30,47 MB
Release : 1962
Category :
ISBN :