Hyperbolic conservation laws in continuum physics /

This masterly exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may direct and drive the a...

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Bibliographic Details
Main Author:	Dafermos, C. M. (Constantine M.)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer, 2000.
Series:	Grundlehren der mathematischen Wissenschaften ; 325.
Subjects:	Conservation laws (Physics) Differential equations, Hyperbolic. Field theory (Physics) compacité. entropie. mécanique milieu continu. système hyperbolique. loi conservation. Lois de conservation (Physique) Équations différentielles hyperboliques. Champs, Théorie des (Physique) Mathematische fysica. Veldentheorie. Equations différentielles hyperboliques. Kontinuumsphysik. Erhaltungssatz. Hyperbolisches System. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Balance Laws
Introduction to Continuum Physics
Hyperbolic Systems of Balance Laws
The Initial-Value Problem: Admissibility of Solutions
Entropy and the Stability of Classical Solutions
The L1 Theory of Scalar Balance Laws
Hyperbolic Systems of Balance Laws in One Space Dimension
Admissible Shocks
Admissible Wave Fans and the Riemann Problem
Generalized Characteristics
Genuinely Nonlinear Scalar Conservation Law
Genuinely Nonlinear Systems of Two Conservation Laws
The Random Choice Method
The Method of Wave Front Tracking and the Standard Riemann Semigroup
The Method of Compensated Compactness
Bibliography.