Hyperbolic Conservation Laws in Continuum Physics

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.