Hyperbolic Conservation Laws in Continuum Physics (Grundlehren der mathematischen Wissenschaften Vol.325) （2nd ed. 2010. XIX, 626 S. 39 SW-Abb. 235 mm）

Dafermos, Constantine M.

SPRINGER, BERLIN（2010発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 645 p.
• 言語 ENG,ENG
• 商品コード 9783642064876

Full 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

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.