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The Resource Hyperbolic Conservation Laws in Continuum Physics, by Constantine M. Dafermos, (electronic resource)
Hyperbolic Conservation Laws in Continuum Physics, by Constantine M. Dafermos, (electronic resource)
Resource Information
The item Hyperbolic Conservation Laws in Continuum Physics, by Constantine M. Dafermos, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Hyperbolic Conservation Laws in Continuum Physics, by Constantine M. Dafermos, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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
 4th ed. 2016.
 Extent
 XXXVIII, 826 p. 52 illus.
 Isbn
 9783662494516
 Label
 Hyperbolic Conservation Laws in Continuum Physics
 Title
 Hyperbolic Conservation Laws in Continuum Physics
 Statement of responsibility
 by Constantine M. Dafermos
 Subject

 Thermodynamics
 Continuum mechanics
 Continuum mechanics
 Fluids
 Partial differential equations
 Continuum Mechanics and Mechanics of Materials
 Mechanics
 Partial differential equations
 Fluids
 Fluid and Aerodynamics
 Mechanics
 Thermodynamics
 Electronic resources
 Mathematics
 Mathematics
 Partial Differential Equations
 Partial Differential Equations
 Thermodynamics
 Mechanics
 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
 http://library.link/vocab/creatorName
 Dafermos, Constantine M
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Partial differential equations
 Mechanics
 Fluids
 Thermodynamics
 Continuum mechanics
 Mathematics
 Partial Differential Equations
 Thermodynamics
 Mechanics
 Continuum Mechanics and Mechanics of Materials
 Fluid and Aerodynamics
 Label
 Hyperbolic Conservation Laws in Continuum Physics, by Constantine M. Dafermos, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Dimensions
 unknown
 Edition
 4th ed. 2016.
 Extent
 XXXVIII, 826 p. 52 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783662494516
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783662494516
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783662494516
 Label
 Hyperbolic Conservation Laws in Continuum Physics, by Constantine M. Dafermos, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Dimensions
 unknown
 Edition
 4th ed. 2016.
 Extent
 XXXVIII, 826 p. 52 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783662494516
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783662494516
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783662494516
Subject
 Continuum Mechanics and Mechanics of Materials
 Continuum mechanics
 Continuum mechanics
 Electronic resources
 Fluid and Aerodynamics
 Fluids
 Fluids
 Mathematics
 Mathematics
 Mechanics
 Mechanics
 Mechanics
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
 Thermodynamics
 Thermodynamics
 Thermodynamics
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