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PrefaceAnalysis of Solutions to Hyperbolic Systems by the Front Tracking Method, A. Bressan, Scuola Internazionale Superiore di Studi Avanzati, TriesteA Wave-Front Tracking AlgorithmContinuous Dependence on Initial DataA Front Tracking Algorithm for 2 x 2 SystemsUniqueness of the Standard Riemann SemigroupCharacterization of Semigroup TrajectoriesUnique Solutions to the Cauchy ProblemReferencesHyperbolic Conservation Laws, P.T. Kan, Purdue University, Indianapolis, IndianaGlobal Solutions to Systems with Umbilic DegeneracyIntroductionGeneral Classes and a Canonical Family of Degenerate SystemsParabolic Approximation and Young MeasuresEntropy Functions and Entropy Dissipation MeasuresCm Goursat EntropiesConvergence of Approximate SolutionsInitial Boundary Value Problems in L8 IntroductionBoundary SetsGodunov Schemes for IBVPTraces of Entropy FluxesGodunov Schemes for Scalar Equations: Interior and Boundary RegularityThe Study of Boundary LayersA Class of Quadratic Systems and a Class of Well-Posed IBVPReferencesThe Initial Value Problem for Hyperbolic-Elliptic Coupled Systems and Applications to Radiation Hydrodynamics, S. Kawashima, Y. Nikkuni, S. Nishibata, Kyushu University, FukuokaIntroductionEntropy Function and SymmetrizationLocal ExistenceStability ConditionGlobal ExistenceProof of a Priori EstimateDecay Properties for the Linearized SystemDecay EstimateLarge-Time ApproximationApplicationsReferencesRecent Results on Hyperbolic Relaxation Problems, R. Natalini, Istituto per le Applicazioni del Calcolo, Rome, ItalyIntroductionMotivationsThe Smooth CaseDiscontinuous Equilibrium Solutions and Weak Convergence MethodsThe BV FrameworkReferencesLectures on Stability of Nonlinear Waves in Viscous Media and Numerics, A. Szepessy, Kungl. Tekniska Högskolan, StockholmIntroductionPerturbations of Constant StatesShock WavesRarefaction WavesMultigrid Methods for Flow ProblemsReferences