Hyperbolic Conservation Laws in Continuum Physics (Die Grundlehren der Mathematischen Wissenschaften 325 2nd Revised edition)

Hyperbolic Conservation Laws in Continuum Physics (Die Grundlehren der Mathematischen Wissenschaften 325 2nd Revised edition)

By: Constantine M. Dafermos (author)Paperback

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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

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Contents

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.

Product Details

  • publication date: 19/10/2010
  • ISBN13: 9783642064876
  • Format: Paperback
  • Number Of Pages: 645
  • ID: 9783642064876
  • weight: 959
  • ISBN10: 3642064876
  • edition: 2nd Revised edition

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