Hyperbolic conservation laws in continuum physics
Author(s)
Bibliographic Information
Hyperbolic conservation laws in continuum physics
（Die Grundlehren der mathematischen Wissenschaften, v. 325）
Springer, c2010
3rd ed
Available at / 36 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
DAF||1||1(3)200017822229
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Note
Includes bibliographical references (p. [597]-691) and indexes
Description and Table of Contents
Description
The 3rd edition is thoroughly revised, applications are substantially enriched, it includes a new account of the early history of the subject (from 1800 to 1957) and a new chapter recounting the recent solution of open problems of long standing in classical aerodynamics. The bibliography comprises now over fifteen hundred titles. 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
Table of Contents
Balance Laws.- to Continuum Physics.- Hyperbolic Systems of Balance Laws.- The Cauchy Problem.- Entropy and the Stability of Classical Solutions.- The 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 Laws.- Genuinely Nonlinear Systems of Two Conservation Laws.- The Random Choice Method.- The Front Tracking Method and Standard Riemann Semigroups.- Construction of Solutions by the Vanishing Viscosity Method.- Compensated Compactness.- Conservation Laws in Two Space Dimensions.
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