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Hyperbolic Problems: Theory, Numerics, Applications

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Cover of 'Hyperbolic Problems: Theory, Numerics, Applications'

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
Attention for Chapter 101: Numerical Simulation of Relativistic Flows Described by a General Equation of State
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Chapter title
Numerical Simulation of Relativistic Flows Described by a General Equation of State
Chapter number 101
Book title
Hyperbolic Problems: Theory, Numerics, Applications
Published by
Springer, Berlin, Heidelberg, January 2008
DOI 10.1007/978-3-540-75712-2_101
Book ISBNs
978-3-54-075711-5, 978-3-54-075712-2
Authors

S. Serna