Hyperbolic Conservation Laws in Continuum Physics: v.325 (Die Grundlehren der Mathematischen Wissenschaften) - Hardcover

Buch 45 von 125: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Dafermos, Constantine M.

 
9783540254522: Hyperbolic Conservation Laws in Continuum Physics: v.325 (Die Grundlehren der Mathematischen Wissenschaften)
Hardcover
ISBN 10: 3540254528 ISBN 13: 9783540254522
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2005

Inhaltsangabe

This masterly exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing 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 should have a certain mathematical sophistication and be familiar with the rudiments of the qualitative theory of partial differential equations, whereas the required notions from continuum physics are introduced from scratch. 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 1st edition. In addition, a substantial portion of the original text has been reorganized so as to streamline the exposition, enrich the collection of examples and improve the notation. The bibliography has been updated and expanded, now comprising over one thousand titles.

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Críticas

From the reviews of the second edition: "The second edition of the famous book Grundlehren der Mathematischen Wissenschaften 325 is devoted to the mathematical theory of hyperbolic conservation and balance laws. 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 of conservations laws. a ] the original text has been reorganized so as to streamline the exposition, enrich the collection of examples, and improve the notation. a ] The bibliography has been considerably expanded a ] ." (Evgeniy Panov, Zentralblatt MATH, Vol. 1078, 2006) "This comprehensive book is about rigorous mathematical theory of balance and conservation laws a ] . The statements of theorems are carefully and precisely written. The proofs are canonical and illuminating a ] . This book is sure to convince every reader that working in this area is challenging, enlightening, and joyful. I heartily recommend this book to anyone who wants to learn about the foundations of the theory of balance and conservation laws and their generic relations to continuum physics a ] ." (Katarina Jegdic, SIAM Review, Vol. 48 (3), 2006) From the reviews of the second edition: "The second edition of the famous book Grundlehren der Mathematischen Wissenchaften 325 is devoted to the mathematical theory of hyperbolic conservation and balance laws. 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 of conservations laws. ??? the original text has been reorganized so as to streamline the exposition, enrich the collection of examples, and improve the notation. ??? The bibliography has been considerably expanded ??? ." (Evgeniy Panov, Zentralblatt MATH, Vol. 1078, 2006) "This comprehensive book is about rigorous mathematical theory of balance and conservation laws ??? . The statements of theorems are carefully and precisely written. The proofs are canonical and illuminating ??? . This book is sure to convince every reader that working in this area is challenging, enlightening, and joyful. I heartily recommend this book to anyone who wants to learn about the foundations of the theory of balance and conservation laws and their generic relations to continuum physics ??? ." (Katarina Jegdic, SIAM Review, Vol. 48 (3), 2006)

Reseña del editor

This masterly exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing 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 should have a certain mathematical sophistication and be familiar with the rudiments of the qualitative theory of partial differential equations, whereas the required notions from continuum physics are introduced from scratch. 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 1st edition. In addition, a substantial portion of the original text has been reorganized so as to streamline the exposition, enrich the collection of examples and improve the notation. The bibliography has been updated and expanded, now comprising over one thousand titles.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
3540254528
ISBN 13 
9783540254522
Einband
Tapa dura
Auflage
2
Anzahl der Seiten
645
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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