E-Book, Englisch, 446 Seiten, Web PDF
Dafermos Hyperbolic Conservation Laws in Continuum Physics
Erscheinungsjahr 2013
ISBN: 978-3-662-22019-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 446 Seiten, Web PDF
Reihe: Grundlehren der mathematischen Wissenschaften
ISBN: 978-3-662-22019-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
I. Balance Laws.- II. Introduction to Continuum Physics.- III. Hyperbolic Systems of Balance Laws.- IV. The Initial-Value Problem: Admissibility of Solutions.- V. Entropy and the Stability of Classical Solutions.- VI. The L1 Theory of the Scalar Conservation Law.- VII. Hyperbolic Systems of Balance Laws in One-Space Dimension.- VIII. Admissible Shocks.- IX. Admissible Wave Fans and the Riemann Problem.- X. Generalized Characteristics.- XI. Genuinely Nonlinear Scalar Conservation Laws.- XII. Genuinely Nonlinear Systems of Two Conservation Laws.- XIII. The Random Choice Method.- XIV. The Front Tracking Method and Standard Riemann Semigroups.- XV. Compensated Compactness.- Author Index.
