Hyperbolic Conservation Laws in Continuum Physics

Beschreibung

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
This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws, intended for readers familiar with the qualitative theory or partial differential equations. The 2nd edition contains a new chapter recounting exciting recent developments on the vanishing viscosity method. Numerous new sections have been incorporated in preexisting chapters, to introduce newly derived results and amplify older material. 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.

Autor*in

Constantine M. Dafermos

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Entropy Thermodynamics hyperbolic conservation laws partial differential equations

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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)
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