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)

Label
Hyperbolic Conservation Laws in Continuum Physics
Title
Hyperbolic Conservation Laws in Continuum Physics
Statement of responsibility
by Constantine M. Dafermos
Creator
Contributor
Author
Provider
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. 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
Member of
http://library.link/vocab/creatorName
Dafermos, Constantine M
Image bit depth
0
LC call number
QA370-380
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)
Instantiates
Publication
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
10.1007/978-3-662-49451-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-49451-6
Label
Hyperbolic Conservation Laws in Continuum Physics, by Constantine M. Dafermos, (electronic resource)
Publication
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
10.1007/978-3-662-49451-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-49451-6

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