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2016 | OriginalPaper | Buchkapitel

1. Hyperbolic Systems of Balance Laws

verfasst von : Georges Bastin, Jean-Michel Coron

Erschienen in: Stability and Boundary Stabilization of 1-D Hyperbolic Systems

Verlag: Springer International Publishing

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Abstract

In this chapter we provide an introduction to the modeling of balance laws by hyperbolic partial differential equations (PDEs). A balance law is the mathematical expression of the physical principle that the variation of the amount of some extensive quantity over a bounded domain is balanced by its flux through the boundaries of the domain and its production/consumption inside the domain. Balance laws are therefore used to represent the fundamental dynamics of many physical open conservative systems.

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Nächstes Kapitel Systems of Two Linear Conservation Laws
Fußnoten
1
The partial derivatives of a function f with respect to the variables x and t are indifferently denoted ∂ x f and ∂ t f or f x and f t .
 
2
In this section and everywhere in the book the notation M ​T denotes the transpose of the matrix M.
 
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Metadaten
Titel
Hyperbolic Systems of Balance Laws
verfasst von
Georges Bastin
Jean-Michel Coron
Copyright-Jahr
2016
Buch
Stability and Boundary Stabilization of 1-D Hyperbolic Systems

Print ISBN: 978-3-319-32060-1

Electronic ISBN: 978-3-319-32062-5

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-32062-5_1

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