Hyperbolic Problems: Theory, Numerics, Applications

Benzoni-Gavage, Sylvie; Serre, Denis

Hyperbolic Problems: Theory, Numerics, Applications

Edited by Sylvie Benzoni-Gavage () and Denis Serre ()

Date: 2008
ISBN: 978-3-540-75712-2
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Chapters in this book:

General Relativistic Hydrodynamics and Magnetohydrodynamics: Hyperbolic Systems in Relativistic Astrophysics: J. A. Font
On Approximations for Overdetermined Hyperbolic Equations: S. K. Godunov
Stable Galaxy Configurations: Y. Guo
Dissipative Structure of Regularity-Loss Type and Applications: S. Kawashima
Dissipative Hyperbolic Systems: the Asymptotic Behavior of Solutions: S. Bianchini, B. Hanouzet and R. Natalini
Higher Order Numerical Schemes for Hyperbolic Systems with an Application in Fluid Dynamics: V. Dolejší
A Penalization Technique for the Efficient Computation of Compressible Fluid Flow with Obstacles: G. Chiavassa and R. Donat
Exact Solutions to Supersonic Flow onto a Solid Wedge: V. Elling and T. -P. Liu
Resonance and Nonlinearities: T. Gallouët
L p -Stability Theory of the Boltzmann Equation Near Vacuum: S. -Y. Ha, M. Yamazaki and S. -B. Yun
A Relaxation Scheme for the Two-Layer Shallow Water System: R. Abgrall and S. Karni
Group Dynamics of Phototaxis: Interacting Stochastic Many-Particle Systems and Their Continuum Limit: D. Bhaya, D. Levy and T. Requeijo
Vacuum Problem of One-Dimensional Compressible Navier–Stokes Equations: H. -L. Li, J. Li and Z. Xin
Stability and Instability Issues for Relaxation Shock Profiles: C. Mascia
A New hp-Adaptive DG Scheme for Conservation Laws Based on Error Control: A. Dedner and M. Ohlberger
Elliptic and Centrifugal Instabilities in Incompressible Fluids: F. Gallaire, D. Gérard-Varet and F. Rousset
On Compressible Current–Vortex Sheets: Y. Trakhinin
On the Motion of Binary Fluid Mixtures: K. Trivisa
On the Optimality of the Observability Inequalities for Kirchhoff Plate Systems with Potentials in Unbounded Domains: X. Zhang and E. Zuazua
High Order Finite Volume Methods Applied to Sediment Transport and Submarine Avalanches: D. Bresch, M. J. C. Díaz, E. D. Fernández-Nieto, A. M. Ferreiro and A. Mangeney
On a Well-Balanced High-Order Finite Volume Scheme for the Shallow Water Equations with Bottom Topography and Dry Areas: J. M. Gallardo, M. Castro, C. Parés and J. M. González-Vida
A Simple Well-Balanced Model for Two-Dimensional Coastal Engineering Applications: F. Marche
A Model for Bed-Load Transport and Morphological Evolution in Rivers:Description and Pertinence: A. Paquier and K. El Kadi
Homogenization of Conservation Laws with Oscillatory Source and Nonoscillatory Data: D. Amadori
Short-Time Well-Posedness of Free-Surface Problems in Irrotational 3D Fluids: D. M. Ambrose
Mathematical Study of Static Grain Deep-Bed Drying Models: D. Aregba-Driollet
Finite Volume Central Schemes for Three-Dimensional Ideal MHD: P. Arminjon and R. Touma
Finite Volume Methods for Low Mach Number Flows under buoyancy: P. Birken
Time Splitting with Improved Accuracy for the Shallow Water Equations: A. Bourchtein and L. Bourchtein
Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws: M. Čada, M. Torrilhon and R. Jeltsch
A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere: D. Calhoun, C. Helzel and R. J. LeVeque
Capturing Infinitely Sharp Discrete Shock Profiles with the Godunov Scheme: C. Chalons and F. Coquel
Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method: A. Chertock, E. Kashdan and A. Kurganov
Nonlocal Conservation Laws with Memory: C. Christoforou
Global Weak Solutions for a Shallow Water Equation: G. M. Coclite, H. Holden and K. H. Karlsen
Structural Stability of Shock Solutions of Hyperbolic Systems in Nonconservation Form via Kinetic Relations: B. Audebert and F. Coquel
A Hyperbolic Model of Multiphase Flow: D. Amadori and A. Corli
Nonlinear Stability of Compressible Vortex Sheets: J. -F. Coulombel and P. Secchi
Regularity and Compactness for the DiPerna–Lions Flow: G. Crippa and C. de Lellis
A Note on L 1 Stability of Traveling Waves for a One-Dimensional BGK Model: C. M. Cuesta
The Weak Rankine Hugoniot Inequality: B. Després
Numerical Investigations Concerning the Strategy of Control of the Spatial Order of Approximation Along a Fitted Gas–Liquid Interface: C. Dickopp and J. Ballmann
Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations: G. Dimarco and L. Pareschi
A Shock Sensor-Based Second-Order Blended (Bx) Upwind Residual Distribution Scheme for Steady and Unsteady Compressible Flow: J. Dobeš and H. Deconinck
Artificial Compressibility Approximation for the Incompressible Navier–Stokes Equations on Unbounded Domain: D. Donatelli and P. Marcati
Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws: A. Dressel and W. A. Yong
A Hyperbolic-Elliptic Model for Coupled Well-Porous Media Flow: S. Evje and K. H. Karlsen
High-Resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy: K. Fagnan, R. J. LeVeque, T. J. Matula and B. MacConaghy
Asymptotic Properties of a Class of Weak Solutions to the Navier–Stokes–Fourier System: E. Feireisl
A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers: M. Feistauer and V. Kučcera
Monokinetic Limits of the Vlasov-Poisson/Maxwell-Fokker-Planck System: L. Hsiao, F. Li and S. Wang
High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation: D. L. George and R. J. LeVeque
Young Measure Solutions of Some Nonlinear Mixed Type Equations: H.-P. Gittel
Computing Phase Transitions Arising in Traffic Flow Modeling: C. Chalons and P. Goatin
Dafermos Regularization for Interface Coupling of Conservation Laws: B. Boutin, F. Coquel and E. Godlewski
Nonlocal Sources in Hyperbolic Balance Laws with Applications: R. M. Colombo and G. Guerra
Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D: P. Havlík and R. Liska
On Global Large Solutions to 1-D Gas Dynamics: E. E. Endres and H. K. Jenssen
A Carbuncle Free Roe-Type Solver for the Euler Equations: F. Kemm
WENOCLAW: A Higher Order Wave Propagation Method: D. I. Ketcheson and R. J. LeVeque
Unsteady Transonic Airfoil Flow Simulations using High-Order WENO Schemes: I. Klioutchnikov, J. Ballmann, H. Oliver, V. Hermes and A. Alshabu
The Predictor–Corrector Method for Solving of Magnetohydrodynamic Problems: T. Kozlinskaya and V. Kovenya
A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides: A. Kurganov and G. Petrova
An A Posteriori Error Estimate for Glimm’s Scheme: M. Laforest
Multiphase Flows in Mass Transfer in Porous Media: W. Lambert and D. Marchesin
Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics: C. Lattanzio, C. Mascia and D. Serre
The Lagrangian Coordinates Applied to the LWR Model: L. Ludovic, C. Estelle and L. Jorge
Hyperbolic Conservation Laws and Spacetimes with Limited Regularity: P. G. LeFloch
Arbitrary Lagrangian–Eulerian (ALE) Method in Cylindrical Coordinates for Laser Plasma Simulations: M. Kucharik, R. Liska, R. Loubere and M. Shashkov
Numerical Aspects of Parabolic Regularization for Resonant Hyperbolic Balance Laws: M. Kraft and M. Lukáčcová-Medviďová
Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids: A. Madrane
High Amplitude Solutions for Small Data in Pairs of Conservation Laws that Change Type: V. Matos and D. Marchesin
Asymptotic Behavior of Riemann Problem with Structure for Hyperbolic Dissipative Systems: A. Mentrelli and T. Ruggeri
Maximal Entropy Solutions for a Scalar Conservation Law with Discontinuous Flux: S. Mishra
Semidiscrete Entropy Satisfying Approximate Riemann Solvers and Application to the Suliciu Relaxation Approximation: T. Morales and F. Bouchut
On the L 2-Well Posedness of an Initial Boundary Value Problem for the Linear Elasticity in Two and Three Space Dimensions: A. Morando and D. Serre
Intersections Modeling with a Class of “Second-Order” Models for Vehicular Traffic Flow: M. Herty, S. Moutari and M. Rascle
Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows: A. Bermúdez de Castro, R. Muñoz-Sola, C. Rodríguez and M. Ángel Vilar
Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body: S. Kračmar, S. Nečasová and P. Penel
Multi-D Bony Type Potential for the Boltzmann–Enskog Equation: S.-Y. Ha and S. E. Noh
Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D: M. Nolte and D. Kröner
Stability for Multidimensional Periodic Waves Near Zero Frequency: M. Oh and K. Zumbrun
Existence of Strong Traces for Quasisolutions of Scalar Conservation Laws: E. Y. Panov
Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems: C. Parés
Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography: M. Pelanti, F. Bouchut, A. Mangeney and J. -P. Vilotte
Linear Lagrangian Systems of Conservation Laws: Y. -J. Peng
Normal Modes Analysis of Subsonic Phase Boundaries in Elastic Materials: H. Freistühler and R. G. Plaza
Large Time Step Positivity-Preserving Method for Multiphase Flows: F. Coquel, Q. -L. Nguyen, M. Postel and Q. -H. Tran
Velocity Discretization in Numerical Schemes for BGK Equations: A. Alaia, S. Pieraccini and G. Puppo
A Space–Time Conservative Method for Hyperbolic Systems of Relaxation Type: S. Qamar and G. Warnecke
A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa–Holm Equation: H. Holden and X. Raynaud
Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains: F. Rieper and G. Bader
Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics: C. Rohde, N. Tiemann and W. -A. Yong
Spectral Analysis of Coupled Hyperbolic–Parabolic Systems on Finite and Infinite Intervals: J. Rottmann-Matthes
Toward an Improved Capture of Stiff Detonation Waves: O. Rouch, M. -O. St-Hilaire and P. Arminjon
Generalized Momenta of Mass and Their Applications to the Flow of Compressible Fluid: O. Rozanova
ADER–Runge–Kutta Schemes for Conservation Laws in One Space Dimension: G. Russo, E. F. Toro and V. A. Titarev
Strong Boundary Traces and Well-Posedness for Scalar Conservation Laws with Dissipative Boundary Conditions: B. Andreianov and K. Sbihi
A Relaxation Method for the Coupling of Systems of Conservation Laws: A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P. -A. Raviart and N. Seguin
Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations: F. Cavalli, G. Naldi, G. Puppo and M. Semplice
Numerical Simulation of Relativistic Flows Described by a General Equation of State: S. Serna
On Delta-Shocks and Singular Shocks: V. M. Shelkovich
Finite Dimensional Representation of Solutions of Viscous Conservation Laws: W. Shen
A Moving-Boundary Tracking Algorithm for Inviscid Compressible Flow: K. M. Shyue
Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media: I. L. Sofronov and N. A. Zaitsev
Counterflow Combustion in a Porous Medium: A. J. de Souza
Global Attractor and its Dimension for a Klein–Gordon–Schrödinger System: M. N. Poulou and N. M. Stavrakakis
A Few Remarks About a Theorem by J. Rauch: F. Sueur
A Riemann Solver Approach for Conservation Laws with Discontinuous Flux: M. Garavello, R. Natalini, B. Piccoli and A. Terracina
The Strong Shock Wave in the Problem on Flow Around Infinite Plane Wedge: D. L. Tkachev, A. M. Blokhin and Y. Y. Pashinin
The Derivative Riemann Problem for the Baer–Nunziato Equations: E. F. Toro and C. E. Castro
Stability of Contact Discontinuities for the Nonisentropic Euler Equations in Two-Space Dimensions: A. Morando and P. Trebeschi
Three-Dimensional Numerical MHD Simulations of Solar Convection: S. D. Ustyugov
Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain: J. Vovelle and S. Martin
A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations: J. A. S. Witteveen
Simulation of Field-Aligned Ideal MHD Flows Around Perfectly Conducting Cylinders Using an Artificial Compressibility Approach: M. S. Yalim, D. V. Abeele and A. Lani
Vanishing at Most Seventh-Order Terms of Scalar Conservation Laws: N. Fujino and M. Yamazaki
Large-Time Behavior for a Compressible Energy Transport Model: L. Hsiao and Y. Li
Novel Entropy Stable Schemes for 1D and 2D Fluid Equations: E. Tadmor and W. Zhong

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DOI: 10.1007/978-3-540-75712-2

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