Hyperbolic conservation laws in continuum physics
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The work Hyperbolic conservation laws in continuum physics represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Hyperbolic conservation laws in continuum physics
Resource Information
The work Hyperbolic conservation laws in continuum physics represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Hyperbolic conservation laws in continuum physics
 Statement of responsibility
 Constantine M. Dafermos
 Subject

 Conservation laws (Physics)
 Conservation laws (Physics)
 Differential equations, Hyperbolic
 Differential equations, Hyperbolic
 Differential equations, Hyperbolic
 Field theory (Physics)
 Field theory (Physics)
 Field theory (Physics)
 SCIENCE  Physics  Mathematical & Computational
 Conservation laws (Physics)
 Language
 eng
 Summary
 This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. 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 who may need analytical tools; (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. New to the 3rd edition is an account of the early history of the subject, spanning the period between 1800 to 1957. Also new is a chapter recounting the recent solution of open problems of long standing in classical aerodynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised and brought up to date, and the collection of applications has been substantially enriched. The bibliography, also expanded and updated, now comprises over fifteen hundred titles. From the reviews of the 2nd edition: "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." Evgeniy Panov, Zentralblatt MATH "This book is sure to convince every reader that working in this area is challenging, enlightening, and joyful." Katarina Jegdic, SIAM Review
 Cataloging source
 GW5XE
 Dewey number
 530.1553535
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QC793.3.C58
 LC item number
 D34 2010
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement

 Grundlehren der mathematischen Wissenschaften,
 A series of comprehensive studies in mathematics
 Series volume
 325 =
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