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目次

PrefacePreliminariesGeometry of Characteristics and DiscontinuitiesRiemann Solution Geometry of Conservation LawsScalar Conservation LawsOne-Dimensional Scalar Conservation LawsThe Generalized Characteristic Analysis MethodThe Four-Wave Riemann ProblemMach-Reflection-Like Configuration of SolutionsZero-Pressure Gas DynamicsCharacteristics and Bounded DiscontinuitiesSimultaneous Occurrence of Two Blowup MechanismsDelta-Shocks, Generalized Rankine-Hugoniot Relations and Entropy ConditionsThe One-Dimensional Riemann ProblemThe Two-Dimensional Riemann ProblemRiemann Solutions as the Limits of Solutions to Self-Similar Viscous SystemsPressure-Gradient Equations of the Euler SystemThe Pme-Dimensional Riemann ProblemCharacteristics, Discontinuities, Elementary Waves, and ClassificationsThe Existence of Solutions to a Transonic Pressure-Gradient Equation in an Elliptic Region with Degenerate DatumThe Two-Dimensional Riemann Problem and Numerical SolutionsThe Compressible Euler EquationsThe Concepts of Characteristics and DiscontinuitiesPlanar Elementary Waves and ClassificationPSI Approach to Irrotational Isentropic FlowAnalysis of Riemann Solutions and Numerical ResultsTwo-Dimensional Riemann Solutions with AxisymmetryReferencesAuthor Index