The Resource Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos
Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos
Resource Information
The item Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Edition
 3rd ed.
 Extent
 1 online resource (xxxv, 708 pages)
 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 OneSpace 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
 Isbn
 9783642040481
 Label
 Hyperbolic conservation laws in continuum physics
 Title
 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
 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
 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 OneSpace 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
 10.1007/978364204
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642040474
 Specific material designation
 remote
 System control number
 (OCoLC)567139665
 Label
 Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos
 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 OneSpace 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
 10.1007/978364204
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642040474
 Specific material designation
 remote
 System control number
 (OCoLC)567139665
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)
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