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The Resource Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos

Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos

Label
Hyperbolic conservation laws in continuum physics
Title
Hyperbolic conservation laws in continuum physics
Statement of responsibility
Constantine M. Dafermos
Creator
Subject
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
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Dafermos, C. M.
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 =
http://library.link/vocab/subjectName
  • Conservation laws (Physics)
  • Differential equations, Hyperbolic
  • Field theory (Physics)
  • SCIENCE
  • Conservation laws (Physics)
  • Differential equations, Hyperbolic
  • Field theory (Physics)
Label
Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Balance Laws -- to Continuum Physics -- Hyperbolic Systems of Balance Laws -- The Cauchy Problem -- Entropy and the Stability of Classical Solutions -- The Theory for Scalar Conservation 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 Laws -- Genuinely Nonlinear Systems of Two Conservation Laws -- The Random Choice Method -- The Front Tracking Method and Standard Riemann Semigroups -- Construction of Solutions by the Vanishing Viscosity Method -- Compensated Compactness -- Conservation Laws in Two Space Dimensions
Control code
567139665
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (xxxv, 708 pages)
Form of item
online
Isbn
9783642040481
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-04
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-04047-4
Specific material designation
remote
System control number
(OCoLC)567139665
Label
Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Balance Laws -- to Continuum Physics -- Hyperbolic Systems of Balance Laws -- The Cauchy Problem -- Entropy and the Stability of Classical Solutions -- The Theory for Scalar Conservation 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 Laws -- Genuinely Nonlinear Systems of Two Conservation Laws -- The Random Choice Method -- The Front Tracking Method and Standard Riemann Semigroups -- Construction of Solutions by the Vanishing Viscosity Method -- Compensated Compactness -- Conservation Laws in Two Space Dimensions
Control code
567139665
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (xxxv, 708 pages)
Form of item
online
Isbn
9783642040481
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-04
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-04047-4
Specific material designation
remote
System control number
(OCoLC)567139665

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