
Hyperbolic Conservation Laws in Continuum Physics
Constantine M. Dafermos(Author)
Springer (Publisher)
2nd Edition
Published on 19. October 2010
Book
Paperback/Softback
XIX, 626 pages
978-3-642-06487-6 (ISBN)
Article exhausted; check different version
Description
This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws. The second edition contains a new chapter recounting exciting recent developments on the vanishing viscosity method. Numerous new sections introduce newly derived results.
From the reviews:
"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." --Zentralblatt MATH
Reviews / Votes
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. . 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)More details
Series
Edition
2., nd ed. Softcover version of original hardcover edition 2005
Language
English
Place of publication
Berlin
Germany
Target group
College/higher education
Research
Edition type
Revised edition
Illustrations
39 s/w Abbildungen
39 black & white illustrations
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
959 gr
ISBN-13
978-3-642-06487-6 (9783642064876)
Schweitzer Classification
Other editions
Additional editions

Constantine M. Dafermos
Hyperbolic Conservation Laws in Continuum Physics
Book
08/2005
2nd Edition
Springer
€106.95
Article exhausted; check for reprint
Content
Balance Laws.- Introductioin 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 Law.- Genuinely Nonlinear Systems of Two Conservation Laws.- The Random Choice Method.- The Front Tracking Method and Standard Riemann Semigroups.- Construction of BV Volutions by the Vanishing Viscosity Method.- Compensated Compactness.- Bibliography.- Author Index.- Subject Index.