Hyperbolic conservation laws in continuum physics
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...
שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| מהדורה: | 3rd edition. |
| סדרה: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
325 |
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, 3rd edition, 2010, Heidelberg, Springer, 1 vol. (XXXV-708 p.), Grundlehren der mathematischen Wissenschaften, 978-3-642-04047-4 • Hyperbolic Conservation Laws in Continuum Physics, Texte imprimé, 9783642040542 • Hyperbolic Conservation Laws in Continuum Physics, Texte imprimé, 9783642242427 • Hyperbolic conservation laws in continuum physics, Constantine M. Dafermos, 3rd edition, 2010, Heidelberg, Springer, 1 vol. (XXXV-708 p.), Grundlehren der mathematischen Wissenschaften, 978-3-642-04047-4 |
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| 100 | 1 | |a Dafermos, Constantine M., |d 1941- | |
| 245 | 1 | 0 | |a Hyperbolic conservation laws in continuum physics |c Constantine M. Dafermos. |
| 250 | |a 3rd edition. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 325 |x 2196-9701 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 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 Solutions by the Vanishing Viscosity Method Compensated Compactness Conservation Laws in Two Space Dimensions. | |
| 505 | 0 | |a 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 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 Solutions by the Vanishing Viscosity Method -- Compensated Compactness -- Conservation Laws in Two Space Dimensions | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Lois de conservation (physique) | ||
| 650 | |a Théorie des champs (physique) | ||
| 650 | |a Équations différentielles hyperboliques | ||
| 776 | 0 | |0 143774077 |t Hyperbolic conservation laws in continuum physics |f Constantine M. Dafermos |e 3rd edition |d 2010 |c Heidelberg |n Springer |p 1 vol. (XXXV-708 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-642-04047-4 | |
| 776 | 0 | |t Hyperbolic Conservation Laws in Continuum Physics |b Texte imprimé |z 9783642040542 | |
| 776 | 0 | |t Hyperbolic Conservation Laws in Continuum Physics |b Texte imprimé |z 9783642242427 | |
| 776 | 0 | |0 143774077 |t Hyperbolic conservation laws in continuum physics |f Constantine M. Dafermos |e 3rd edition |d 2010 |c Heidelberg |n Springer |p 1 vol. (XXXV-708 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-642-04047-4 | |
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| 997 | |0 942877 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||