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Hyperbolic Problems: Theory, Numerics, Applications

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Table of Contents

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    Book Overview
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    Chapter 1 General Relativistic Hydrodynamics and Magnetohydrodynamics: Hyperbolic Systems in Relativistic Astrophysics
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    Chapter 2 On Approximations for Overdetermined Hyperbolic Equations
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    Chapter 3 Stable Galaxy Configurations
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    Chapter 4 Dissipative Structure of Regularity-Loss Type and Applications
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    Chapter 5 Dissipative Hyperbolic Systems: the Asymptotic Behavior of Solutions
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    Chapter 6 Higher Order Numerical Schemes for Hyperbolic Systems with an Application in Fluid Dynamics
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    Chapter 7 A Penalization Technique for the Efficient Computation of Compressible Fluid Flow with Obstacles
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    Chapter 8 Exact Solutions to Supersonic Flow onto a Solid Wedge
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    Chapter 9 Resonance and Nonlinearities
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    Chapter 10 L p -Stability Theory of the Boltzmann Equation Near Vacuum
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    Chapter 11 A Relaxation Scheme for the Two-Layer Shallow Water System
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    Chapter 12 Group Dynamics of Phototaxis: Interacting Stochastic Many-Particle Systems and Their Continuum Limit
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    Chapter 13 Vacuum Problem of One-Dimensional Compressible Navier–Stokes Equations
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    Chapter 14 Stability and Instability Issues for Relaxation Shock Profiles
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    Chapter 15 A New hp -Adaptive DG Scheme for Conservation Laws Based on Error Control
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    Chapter 16 Elliptic and Centrifugal Instabilities in Incompressible Fluids
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    Chapter 17 On Compressible Current–Vortex Sheets
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    Chapter 18 On the Motion of Binary Fluid Mixtures
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    Chapter 19 On the Optimality of the Observability Inequalities for Kirchhoff Plate Systems with Potentials in Unbounded Domains
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    Chapter 20 High Order Finite Volume Methods Applied to Sediment Transport and Submarine Avalanches
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    Chapter 21 On a Well-Balanced High-Order Finite Volume Scheme for the Shallow Water Equations with Bottom Topography and Dry Areas
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    Chapter 22 A Simple Well-Balanced Model for Two-Dimensional Coastal Engineering Applications
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    Chapter 23 A Model for Bed-Load Transport and Morphological Evolution in Rivers:Description and Pertinence
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    Chapter 24 Homogenization of Conservation Laws with Oscillatory Source and Nonoscillatory Data
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    Chapter 25 Short-Time Well-Posedness of Free-Surface Problems in Irrotational 3D Fluids
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    Chapter 26 Mathematical Study of Static Grain Deep-Bed Drying Models
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    Chapter 27 Finite Volume Central Schemes for Three-Dimensional Ideal MHD
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    Chapter 28 Finite Volume Methods for Low Mach Number Flows under buoyancy
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    Chapter 29 Time Splitting with Improved Accuracy for the Shallow Water Equations
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    Chapter 30 Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws
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    Chapter 31 A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere
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    Chapter 32 Capturing Infinitely Sharp Discrete Shock Profiles with the Godunov Scheme
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    Chapter 33 Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method
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    Chapter 34 Nonlocal Conservation Laws with Memory
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    Chapter 35 Global Weak Solutions for a Shallow Water Equation
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    Chapter 36 Structural Stability of Shock Solutions of Hyperbolic Systems in Nonconservation Form via Kinetic Relations
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    Chapter 37 A Hyperbolic Model of Multiphase Flow
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    Chapter 38 Nonlinear Stability of Compressible Vortex Sheets
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    Chapter 39 Regularity and Compactness for the DiPerna–Lions Flow
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    Chapter 40 A Note on L 1 Stability of Traveling Waves for a One-Dimensional BGK Model
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    Chapter 41 The Weak Rankine Hugoniot Inequality
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    Chapter 42 Numerical Investigations Concerning the Strategy of Control of the Spatial Order of Approximation Along a Fitted Gas–Liquid Interface
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    Chapter 43 Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations
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    Chapter 44 A Shock Sensor-Based Second-Order Blended (Bx) Upwind Residual Distribution Scheme for Steady and Unsteady Compressible Flow
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    Chapter 45 Artificial Compressibility Approximation for the Incompressible Navier–Stokes Equations on Unbounded Domain
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    Chapter 46 Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws
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    Chapter 47 A Hyperbolic-Elliptic Model for Coupled Well-Porous Media Flow
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    Chapter 48 High-Resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy
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    Chapter 49 Asymptotic Properties of a Class of Weak Solutions to the Navier–Stokes–Fourier System
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    Chapter 50 A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers
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    Chapter 51 Monokinetic Limits of the Vlasov-Poisson/Maxwell-Fokker-Planck System
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    Chapter 52 High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation
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    Chapter 53 Young Measure Solutions of Some Nonlinear Mixed Type Equations
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    Chapter 54 Computing Phase Transitions Arising in Traffic Flow Modeling
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    Chapter 55 Dafermos Regularization for Interface Coupling of Conservation Laws
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    Chapter 56 Nonlocal Sources in Hyperbolic Balance Laws with Applications
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    Chapter 57 Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D
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    Chapter 58 On Global Large Solutions to 1-D Gas Dynamics
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    Chapter 59 A Carbuncle Free Roe-Type Solver for the Euler Equations
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    Chapter 60 WENOCLAW: A Higher Order Wave Propagation Method
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    Chapter 61 Unsteady Transonic Airfoil Flow Simulations using High-Order WENO Schemes
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    Chapter 62 The Predictor–Corrector Method for Solving of Magnetohydrodynamic Problems
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    Chapter 63 A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides
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    Chapter 64 An A Posteriori Error Estimate for Glimm’s Scheme
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    Chapter 65 Multiphase Flows in Mass Transfer in Porous Media
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    Chapter 66 Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics
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    Chapter 67 The Lagrangian Coordinates Applied to the LWR Model
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    Chapter 68 Hyperbolic Conservation Laws and Spacetimes with Limited Regularity
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    Chapter 69 Arbitrary Lagrangian–Eulerian (ALE) Method in Cylindrical Coordinates for Laser Plasma Simulations
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    Chapter 70 Numerical Aspects of Parabolic Regularization for Resonant Hyperbolic Balance Laws
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    Chapter 71 Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids
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    Chapter 72 High Amplitude Solutions for Small Data in Pairs of Conservation Laws that Change Type
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    Chapter 73 Asymptotic Behavior of Riemann Problem with Structure for Hyperbolic Dissipative Systems
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    Chapter 74 Maximal Entropy Solutions for a Scalar Conservation Law with Discontinuous Flux
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    Chapter 75 Semidiscrete Entropy Satisfying Approximate Riemann Solvers and Application to the Suliciu Relaxation Approximation
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    Chapter 76 On the L 2 -Well Posedness of an Initial Boundary Value Problem for the Linear Elasticity in Two and Three Space Dimensions
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    Chapter 77 Intersections Modeling with a Class of “Second-Order” Models for Vehicular Traffic Flow
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    Chapter 78 Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows
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    Chapter 79 Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body
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    Chapter 80 Multi-D Bony Type Potential for the Boltzmann–Enskog Equation
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    Chapter 81 Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D
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    Chapter 82 Stability for Multidimensional Periodic Waves Near Zero Frequency
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    Chapter 83 Existence of Strong Traces for Quasisolutions of Scalar Conservation Laws
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    Chapter 84 Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems
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    Chapter 85 Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography
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    Chapter 86 Linear Lagrangian Systems of Conservation Laws
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    Chapter 87 Normal Modes Analysis of Subsonic Phase Boundaries in Elastic Materials
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    Chapter 88 Large Time Step Positivity-Preserving Method for Multiphase Flows
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    Chapter 89 Velocity Discretization in Numerical Schemes for BGK Equations
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    Chapter 90 A Space–Time Conservative Method for Hyperbolic Systems of Relaxation Type
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    Chapter 91 A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa–Holm Equation
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    Chapter 92 Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains
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    Chapter 93 Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics
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    Chapter 94 Spectral Analysis of Coupled Hyperbolic–Parabolic Systems on Finite and Infinite Intervals
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    Chapter 95 Toward an Improved Capture of Stiff Detonation Waves
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    Chapter 96 Generalized Momenta of Mass and Their Applications to the Flow of Compressible Fluid
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    Chapter 97 ADER–Runge–Kutta Schemes for Conservation Laws in One Space Dimension
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    Chapter 98 Strong Boundary Traces and Well-Posedness for Scalar Conservation Laws with Dissipative Boundary Conditions
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    Chapter 99 A Relaxation Method for the Coupling of Systems of Conservation Laws
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    Chapter 100 Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations
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    Chapter 101 Numerical Simulation of Relativistic Flows Described by a General Equation of State
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    Chapter 102 On Delta-Shocks and Singular Shocks
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    Chapter 103 Finite Dimensional Representation of Solutions of Viscous Conservation Laws
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    Chapter 104 A Moving-Boundary Tracking Algorithm for Inviscid Compressible Flow
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    Chapter 105 Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media
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    Chapter 106 Counterflow Combustion in a Porous Medium
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    Chapter 107 Global Attractor and its Dimension for a Klein–Gordon–Schrödinger System
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    Chapter 108 A Few Remarks About a Theorem by J. Rauch
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    Chapter 109 A Riemann Solver Approach for Conservation Laws with Discontinuous Flux
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    Chapter 110 The Strong Shock Wave in the Problem on Flow Around Infinite Plane Wedge
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    Chapter 111 The Derivative Riemann Problem for the Baer–Nunziato Equations
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    Chapter 112 Stability of Contact Discontinuities for the Nonisentropic Euler Equations in Two-Space Dimensions
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    Chapter 113 Three-Dimensional Numerical MHD Simulations of Solar Convection
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    Chapter 114 Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain
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    Chapter 115 A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations
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    Chapter 116 Simulation of Field-Aligned Ideal MHD Flows Around Perfectly Conducting Cylinders Using an Artificial Compressibility Approach
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    Chapter 117 Vanishing at Most Seventh-Order Terms of Scalar Conservation Laws
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    Chapter 118 Large-Time Behavior for a Compressible Energy Transport Model
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    Chapter 119 Novel Entropy Stable Schemes for 1D and 2D Fluid Equations
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Title
Hyperbolic Problems: Theory, Numerics, Applications
Published by
Springer Berlin Heidelberg, January 2008
DOI 10.1007/978-3-540-75712-2
ISBNs
978-3-54-075712-2, 978-3-54-075711-5
Authors

Benzoni-Gavage, Sylvie, Serre, Denis

Editors

Benzoni-Gavage, Sylvie, Serre, Denis

Mendeley readers

The data shown below were compiled from readership statistics for 14 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 2 14%
Unknown 12 86%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 4 29%
Lecturer 2 14%
Student > Doctoral Student 2 14%
Student > Master 2 14%
Researcher 1 7%
Other 1 7%
Unknown 2 14%
Readers by discipline Count As %
Mathematics 3 21%
Physics and Astronomy 3 21%
Engineering 3 21%
Materials Science 2 14%
Chemistry 1 7%
Other 0 0%
Unknown 2 14%