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Hyperbolic Conservation Laws in Continuum Physics

Constantine M. Dafermos
Publisher: 
Springer
Publication Date: 
2010
Number of Pages: 
708
Format: 
Hardcover
Edition: 
3
Series: 
Grundlehren der mathematischen Wissenschaften, 325
Price: 
169.95
ISBN: 
9783642040474
Category: 
Monograph
We do not plan to review this book.

Preface.- Acknowledgments.- Introduction.- A Sketch of the Early History of Hyperbolic Conservation Laws.- I.Balance Laws.- II.Introduction to Continuum Physics.- III.Hyperbolic Systems of Balance Laws.- IV.The Cauchy Problem.- V.Entropy and the Stability of Classical Solutions.- VI.The L1 Theory for Scalar Conservation Laws.- VII.Hyperbolic Systems of Balance Laws in One-Space Dimension.- VIII.Admissible Shocks.- IX.AdmissibleWave 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.Construction of BV Solutions by the Vanishing Viscosity Method.- XVI.Compensated Compactness.-XVII.Conservation Laws in Two Space Dimensions.- Bibliography.- Author Index.- Subject Index.

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