Buch, Englisch, 272 Seiten, Format (B × H): 179 mm x 266 mm, Gewicht: 721 g
Reihe: Monographs and Surveys in Pure and Applied Mathematics
Buch, Englisch, 272 Seiten, Format (B × H): 179 mm x 266 mm, Gewicht: 721 g
Reihe: Monographs and Surveys in Pure and Applied Mathematics
ISBN: 978-0-8493-0644-0
Verlag: Chapman and Hall/CRC
Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity.
The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.
Zielgruppe
Professional
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
Weitere Infos & Material
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
