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:
Online Access:Connect to the full text of this electronic book
Description
Summary: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 analysis. The reader should have a certain mathematical sophistication and be familiar with (at least) the rudiments of the qualitative theory of PDE, whereas the required notions from continuum physics are introduced from scratch. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws."
Physical Description:1 online resource (xvi, 443 pages) : illustrations.
Bibliography:Includes bibliographical references (pages 397-433) and indexes.
ISBN:9783662220191 (electronic bk.)
3662220199 (electronic bk.)