The Resource Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, (electronic book)
Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, (electronic book)
Resource Information
The item Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
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. This new edition places increased emphasis on hyperbolic systems of balance laws with dissipative source, modeling relaxation phenomena. It also presents an account of recent developments on the Euler equations of compressible gas dynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised, expanded and brought up to date, and has been enriched with new applications to elasticity and differential geometry. The bibliography, also expanded and updated, now comprises close to two thousand titles. From the reviews of the 3rd edition: "This is the third edition of the famous book by C.M. Dafermos. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "A monumental book encompassing all aspects of the mathematical theory of hyperbolic conservation laws, widely recognized as the "Bible" on the subject." Philippe G. LeFloch, Math. Reviews
 Language
 eng
 Edition
 Fourth edition.
 Extent
 1 online resource:
 Isbn
 9783662494516
 Label
 Hyperbolic conservation laws in continuum physics
 Title
 Hyperbolic conservation laws in continuum physics
 Statement of responsibility
 Constantine M. Dafermos
 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. This new edition places increased emphasis on hyperbolic systems of balance laws with dissipative source, modeling relaxation phenomena. It also presents an account of recent developments on the Euler equations of compressible gas dynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised, expanded and brought up to date, and has been enriched with new applications to elasticity and differential geometry. The bibliography, also expanded and updated, now comprises close to two thousand titles. From the reviews of the 3rd edition: "This is the third edition of the famous book by C.M. Dafermos. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "A monumental book encompassing all aspects of the mathematical theory of hyperbolic conservation laws, widely recognized as the "Bible" on the subject." Philippe G. LeFloch, Math. Reviews
 Cataloging source
 N$T
 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 2016eb
 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)
 Label
 Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Control code
 SPR950884230
 Dimensions
 unknown
 Edition
 Fourth edition.
 Extent
 1 online resource:
 File format
 unknown
 Form of item
 online
 Isbn
 9783662494516
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 Label
 Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Control code
 SPR950884230
 Dimensions
 unknown
 Edition
 Fourth edition.
 Extent
 1 online resource:
 File format
 unknown
 Form of item
 online
 Isbn
 9783662494516
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Hyperbolicconservationlawsincontinuum/phFe2k7yYss/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Hyperbolicconservationlawsincontinuum/phFe2k7yYss/">Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>