| Plenary Lectures | |
| General Relativistic Hydrodynamics and Magnetohydrodynamics: Hyperbolic Systems in Relativistic Astrophysics | p. 3 |
| On Approximations for Overdetermined Hyperbolic Equations | p. 19 |
| Stable Galaxy Configurations | p. 35 |
| Dissipative Structure of Regularity-Loss Type and Applications | p. 45 |
| Dissipative Hyperbolic Systems: the Asymptotic Behavior of Solutions | p. 59 |
| Invited Lectures | |
| Higher Order Numerical Schemes for Hyperbolic Systems with an Application in Fluid Dynamics | p. 77 |
| A Penalization Technique for the Efficient Computation of Compressible Fluid Flow with Obstacles | p. 89 |
| Exact Solutions to Supersonic Flow onto a Solid Wedge | p. 101 |
| Resonance and Nonlinearities | p. 113 |
| Lp-Stability Theory of the Boltzmann Equation Near Vacuum | p. 125 |
| A Relaxation Scheme for the Two-Layer Shallow Water System | p. 135 |
| Group Dynamics of Phototaxis: Interacting Stochastic Many-Particle Systems and Their Continuum Limit | p. 145 |
| Vacuum Problem of One-Dimensional Compressible Navier-Stokes Equations | p. 161 |
| Stability and Instability Issues for Relaxation Shock Profiles | p. 173 |
| A New hp-Adaptive DG Scheme for Conservation Laws Based on Error Control | p. 187 |
| Elliptic and Centrifugal Instabilities in Incompressible Fluids | p. 199 |
| On Compressible Current-Vortex Sheets | p. 209 |
| On the Motion of Binary Fluid Mixtures | p. 221 |
| On the Optimality of the Observability Inequalities for Kirchhoff Plate Systems with Potentials in Unbounded Domains | p. 233 |
| Mini-Symposium on Hydraulics | |
| High Order Finite Volume Methods Applied to Sediment Transport and Submarine Avalanches | p. 247 |
| On a Well-Balanced High-Order Finite Volume Scheme for the Shallow Water Equations with Bottom Topography and Dry Areas | p. 259 |
| A Simple Well-Balanced Model for Two-Dimensional Coastal Engineering Applications | p. 271 |
| A Model for Bed-Load Transport and Morphological Evolution in Rivers: Description and Pertinence | p. 285 |
| Contributed Talks | |
| Homogenization of Conservation Laws with Oscillatory Source and Nonoscillatory Data | p. 299 |
| Short-Time Well-Posedness of Free-Surface Problems in Irrotational 3D Fluids | p. 307 |
| Mathematical Study of Static Grain Deep-Bed Drying Models | p. 315 |
| Finite Volume Central Schemes for Three-Dimensional Ideal MHD | p. 323 |
| Finite Volume Methods for Low Mach Number Flows under buoyancy | p. 331 |
| Time Splitting with Improved Accuracy for the Shallow Water Equations | p. 339 |
| Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws | p. 347 |
| A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere | p. 355 |
| Capturing Infinitely Sharp Discrete Shock Profiles with the Godunov Scheme | p. 363 |
| Propagation of Diffusing Pollutant by a Hybrid Eulerian-Lagrangian Method | p. 371 |
| Nonlocal Conservation Laws with Memory | p. 381 |
| Global Weak Solutions for a Shallow Water Equation | p. 389 |
| Structural Stability of Shock Solutions of Hyperbolic Systems in Nonconservation Form via Kinetic Relations | p. 397 |
| A Hyperbolic Model of Multiphase Flow | p. 407 |
| Nonlinear Stability of Compressible Vortex Sheets | p. 415 |
| Regularity and Compactness for the DiPerna-Lions Flow | p. 423 |
| A Note on L1 Stability of Traveling Waves for a One-Dimensional BGK Model | p. 431 |
| The Weak Rankine Hugoniot Inequality | p. 439 |
| Numerical Investigations Concerning the Strategy of Control of the Spatial Order of Approximation Along a Fitted Gas-Liquid Interface | p. 449 |
| Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations | p. 457 |
| A Shock Sensor-Based Second-Order Blended (Bx) Upwind Residual Distribution Scheme for Steady and Unsteady Compressible Flow | p. 465 |
| Artificial Compressibility Approximation for the Incompressible Navier-Stokes Equations on Unbounded Domain | p. 475 |
| Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws | p. 485 |
| A Hyperbolic-Elliptic Model for Coupled Well-Porous Media Flow | p. 493 |
| High-Resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy | p. 503 |
| Asymptotic Properties of a Class of Weak Solutions to the Navier-Stokes-Fourier System | p. 511 |
| A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers | p. 523 |
| Monokinetic Limits of the Vlasov-Poisson/Maxwell-Fokker-Planck System | p. 533 |
| High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation | p. 541 |
| Young Measure Solutions of Some Nonlinear Mixed Type Equations | p. 551 |
| Computing Phase Transitions Arising in Traffic Flow Modeling | p. 559 |
| Dafermos Regularization for Interface Coupling of Conservation Laws | p. 567 |
| Nonlocal Sources in Hyperbolic Balance Laws with Applications | p. 577 |
| Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D | p. 585 |
| On Global Large Solutions to 1-D Gas Dynamics | p. 593 |
| A Carbuncle Free Roe-Type Solver for the Euler Equations | p. 601 |
| WENOCLAW: A Higher Order Wave Propagation Method | p. 609 |
| Unsteady Transonic Airfoil Flow Simulations using High-Order WENO Schemes | p. 617 |
| The Predictor-Corrector Method for Solving of Magnetohydrodynamic Problems | p. 625 |
| A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides | p. 635 |
| An A Posteriori Error Estimate for Glimm's Scheme | p. 643 |
| Multiphase Flows in Mass Transfer in Porous Media | p. 653 |
| Nonlinear Hyperbolic-Elliptic Coupled Systems Arising in Radiation Dynamics | p. 661 |
| The Lagrangian Coordinates Applied to the LWR Model | p. 671 |
| Hyperbolic Conservation Laws and Spacetimes with Limited Regularity | p. 679 |
| Arbitrary Lagrangian-Eulerian (ALE) Method in Cylindrical Coordinates for Laser Plasma Simulations | p. 687 |
| Numerical Aspects of Parabolic Regularization for Resonant Hyperbolic Balance Laws | p. 695 |
| Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids | p. 703 |
| High Amplitude Solutions for Small Data in Pairs of Conservation Laws that Change Type | p. 711 |
| Asymptotic Behavior of Riemann Problem with Structure for Hyperbolic Dissipative Systems | p. 721 |
| Maximal Entropy Solutions for a Scalar Conservation Law with Discontinuous Flux | p. 731 |
| Semidiscrete Entropy Satisfying Approximate Riemann Solvers and Application to the Suliciu Relaxation Approximation | p. 739 |
| On the L2-Well Posedness of an Initial Boundary Value Problem for the Linear Elasticity in Two and Three Space Dimensions | p. 747 |
| Intersections Modeling with a Class of "Second-Order" Models for Vehicular Traffic Flow | p. 755 |
| Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows | p. 765 |
| Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body | p. 775 |
| Multi-D Bony Type Potential for the Boltzmann-Enskog Equation | p. 783 |
| Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D | p. 791 |
| Stability for Multidimensional Periodic Waves Near Zero Frequency | p. 799 |
| Existence of Strong Traces for Quasisolutions of Scalar Conservation Laws | p. 807 |
| Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems | p. 817 |
| Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography | p. 825 |
| Linear Lagrangian Systems of Conservation Laws | p. 833 |
| Normal Modes Analysis of Subsonic Phase Boundaries in Elastic Materials | p. 841 |
| Large Time Step Positivity-Preserving Method for Multiphase Flows | p. 849 |
| Velocity Discretization in Numerical Schemes for BGK Equations | p. 857 |
| A Space-Time Conservative Method for Hyperbolic Systems of Relaxation Type | p. 865 |
| A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa-Holm Equation | p. 873 |
| Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains | p. 883 |
| Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics | p. 891 |
| Spectral Analysis of Coupled Hyperbolic-Parabolic Systems on Finite and Infinite Intervals | p. 901 |
| Toward an Improved Capture of Stiff Detonation Waves | p. 911 |
| Generalized Momenta of Mass and Their Applications to the Flow of Compressible Fluid | p. 919 |
| ADER-Runge-Kutta Schemes for Conservation Laws in One Space Dimension | p. 929 |
| Strong Boundary Traces and Well-Posedness for Scalar Conservation Laws with Dissipative Boundary Conditions | p. 937 |
| A Relaxation Method for the Coupling of Systems of Conservation Laws | p. 947 |
| Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations | p. 955 |
| Numerical Simulation of Relativistic Flows Described by a General Equation of State | p. 963 |
| On Delta-Shocks and Singular Shocks | p. 971 |
| Finite Dimensional Representation of Solutions of Viscous Conservation Laws | p. 981 |
| A Moving-Boundary Tracking Algorithm for Inviscid Compressible Flow | p. 989 |
| Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media | p. 997 |
| Counterflow Combustion in a Porous Medium | p. 1005 |
| Global Attractor and its Dimension for a Klein-Gordon-Schrödinger System | p. 1013 |
| A Few Remarks About a Theorem by J. Rauch | p. 1021 |
| A Riemann Solver Approach for Conservation Laws with Discontinuous Flux | p. 1029 |
| The Strong Shock Wave in the Problem on Flow Around Infinite Plane Wedge | p. 1037 |
| The Derivative Riemann Problem for the Baer-Nunziato Equations | p. 1045 |
| Stability of Contact Discontinuities for the Nonisentropic Euler Equations in Two-Space Dimensions | p. 1053 |
| Three-Dimensional Numerical MHD Simulations of Solar Convection | p. 1061 |
| Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain | p. 1069 |
| A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations | p. 1077 |
| Simulation of Field-Aligned Ideal MHD Flows Around Perfectly Conducting Cylinders Using an Artificial Compressibility Approach | p. 1085 |
| Vanishing at Most Seventh-Order Terms of Scalar Conservation Laws | p. 1093 |
| Large-Time Behavior for a Compressible Energy Transport Model | p. 1101 |
| Novel Entropy Stable Schemes for 1D and 2D Fluid Equations | p. 1111 |
| Index | p. 1121 |
| Table of Contents provided by Publisher. All Rights Reserved. |
