000 -LEADER |
fixed length control field |
04082nam a22004935i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-540-29089-6 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121230934.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2005 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783540290896 |
-- |
978-3-540-29089-6 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/3-540-29089-3 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA370-380 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBKJ |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT007000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.353 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Dafermos, Constantine M. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Hyberbolic Conservation Laws in Continuum Physics |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by Constantine M. Dafermos. |
250 ## - EDITION STATEMENT |
Edition statement |
Second Edition. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
Date of production, publication, distribution, manufacture, or copyright notice |
2005. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XX, 626 p. 39 illus. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |
International Standard Serial Number |
0072-7830 ; |
Volume/sequential designation |
325 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Balance Laws -- to Continuum Physics -- Hyperbolic Systems of Balance Laws -- The Cauchy Problem -- Entropy and the Stability of Classical Solutions -- The L1 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 BV Solutions by the Vanishing Viscosity Method -- Compensated Compactness. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This masterly exposition of the mathematical theory of hyperbolic system for conservation laws brings out the intimate connection with continuum thermodynamics, by emphasising issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may direct and drive the analysis. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of the qualitative theory of partial differential equations, whereas the required notions from continuum physics are introduced from scratch. 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. The 2nd edition contains a new chapter recounting the exciting recent developments on the vanishing viscosity method. Numerous new sections have been incorporated in preexisting chapters, to introduce newly derived results or present older material, omitted in the first edition, whose relevance and importance has been underscored by current trends in research. In addition, a substantal portion of the original text has been revamped so as to streamline the exposition, enrich the collection of examples and improve the notation. The bibliography has been updated and expanded as well, now comprising over one thousand titles. . |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Partial differential equations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mechanics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Thermodynamics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Partial Differential Equations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Thermodynamics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mechanics. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783540254522 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |
International Standard Serial Number |
0072-7830 ; |
Volume/sequential designation |
325 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/3-540-29089-3 |
912 ## - |
-- |
ZDB-2-SMA |