Hyperbolic Problems: Theory, Numerics, Applications (eBook)

Plenary Lectures.- General Relativistic Hydrodynamics and Magnetohydrodynamics: Hyperbolic Systems in Relativistic Astrophysics.- On Approximations for Overdetermined Hyperbolic Equations.- Stable Galaxy Configurations.- Dissipative Structure of Regularity-Loss Type and Applications.- Dissipative Hyperbolic Systems: the Asymptotic Behavior of Solutions.- Invited Lectures.- Higher Order Numerical Schemes for Hyperbolic Systems with an Application in Fluid Dynamics.- A Penalization Technique for the Efficient Computation of Compressible Fluid Flow with Obstacles.- Exact Solutions to Supersonic Flow onto a Solid Wedge.- Resonance and Nonlinearities.- L p -Stability Theory of the Boltzmann Equation Near Vacuum.- A Relaxation Scheme for the Two-Layer Shallow Water System.- Group Dynamics of Phototaxis: Interacting Stochastic Many-Particle Systems and Their Continuum Limit.- Vacuum Problem of One-Dimensional Compressible Navier–Stokes Equations.- Stability and Instability Issues for Relaxation Shock Profiles.- A New hp-Adaptive DG Scheme for Conservation Laws Based on Error Control.- Elliptic and Centrifugal Instabilities in Incompressible Fluids.- On Compressible Current–Vortex Sheets.- On the Motion of Binary Fluid Mixtures.- On the Optimality of the Observability Inequalities for Kirchhoff Plate Systems with Potentials in Unbounded Domains.- Mini-Symposium on Hydraulics.- High Order Finite Volume Methods Applied to Sediment Transport and Submarine Avalanches.- On a Well-Balanced High-Order Finite Volume Scheme for the Shallow Water Equations with Bottom Topography and Dry Areas.- A Simple Well-Balanced Model for Two-Dimensional Coastal Engineering Applications.- A Model for Bed-Load Transport and Morphological Evolution in Rivers:Description and Pertinence.- Contributed Talks.- Homogenization of Conservation Laws with Oscillatory Source and Nonoscillatory Data.- Short-Time Well-Posedness of Free-Surface Problems in Irrotational 3D Fluids.- Mathematical Study of Static Grain Deep-Bed Drying Models.- Finite Volume Central Schemes for Three-Dimensional Ideal MHD.- Finite Volume Methods for Low Mach Number Flows under buoyancy.- Time Splitting with Improved Accuracy for the Shallow Water Equations.- Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws.- A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere.- Capturing Infinitely Sharp Discrete Shock Profiles with the Godunov Scheme.- Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method.- Nonlocal Conservation Laws with Memory.- Global Weak Solutions for a Shallow Water Equation.- Structural Stability of Shock Solutions of Hyperbolic Systems in Nonconservation Form via Kinetic Relations.- A Hyperbolic Model of Multiphase Flow.- Nonlinear Stability of Compressible Vortex Sheets.- Regularity and Compactness for the DiPerna–Lions Flow.- A Note on L 1 Stability of Traveling Waves for a One-Dimensional BGK Model.- The Weak Rankine Hugoniot Inequality.- Numerical Investigations Concerning the Strategy of Control of the Spatial Order of Approximation Along a Fitted Gas–Liquid Interface.- Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations.- A Shock Sensor-Based Second-Order Blended (Bx) Upwind Residual Distribution Scheme for Steady and Unsteady Compressible Flow.- Artificial Compressibility Approximation for the Incompressible Navier–Stokes Equations on Unbounded Domain.- Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws.- A Hyperbolic-Elliptic Model for Coupled Well-Porous Media Flow.- High-Resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy.- Asymptotic Properties of a Class of Weak Solutions to the Navier–Stokes–Fourier System.- A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers.- Monokinetic Limits of the Vlasov-Poisson/Maxwell-Fokker-Planck System.- High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation.- Young Measure Solutions of Some Nonlinear Mixed Type Equations.- Computing Phase Transitions Arising in Traffic Flow Modeling.- Dafermos Regularization for Interface Coupling of Conservation Laws.- Nonlocal Sources in Hyperbolic Balance Laws with Applications.- Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D.- On Global Large Solutions to 1-D Gas Dynamics.- A Carbuncle Free Roe-Type Solver for the Euler Equations.- WENOCLAW: A Higher Order Wave Propagation Method.- Unsteady Transonic Airfoil Flow Simulations using High-Order WENO Schemes.- The Predictor–Corrector Method for Solving of Magnetohydrodynamic Problems.- A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides.- An A Posteriori Error Estimate for Glimm’s Scheme.- Multiphase Flows in Mass Transfer in Porous Media.- Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics.- The Lagrangian Coordinates Applied to the LWR Model.- Hyperbolic Conservation Laws and Spacetimes with Limited Regularity.- Arbitrary Lagrangian–Eulerian (ALE) Method in Cylindrical Coordinates for Laser Plasma Simulations.- Numerical Aspects of Parabolic Regularization for Resonant Hyperbolic Balance Laws.- Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids.- High Amplitude Solutions for Small Data in Pairs of Conservation Laws that Change Type.- Asymptotic Behavior of Riemann Problem with Structure for Hyperbolic Dissipative Systems.- Maximal Entropy Solutions for a Scalar Conservation Law with Discontinuous Flux.- Semidiscrete Entropy Satisfying Approximate Riemann Solvers and Application to the Suliciu Relaxation Approximation.- On the L 2-Well Posedness of an Initial Boundary Value Problem for the Linear Elasticity in Two and Three Space Dimensions.- Intersections Modeling with a Class of “Second-Order” Models for Vehicular Traffic Flow.- Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows.- Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body.- Multi-D Bony Type Potential for the Boltzmann–Enskog Equation.- Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D.- Stability for Multidimensional Periodic Waves Near Zero Frequency.- Existence of Strong Traces for Quasisolutions of Scalar Conservation Laws.- Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems.- Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography.- Linear Lagrangian Systems of Conservation Laws.- Normal Modes Analysis of Subsonic Phase Boundaries in Elastic Materials.- Large Time Step Positivity-Preserving Method for Multiphase Flows.- Velocity Discretization in Numerical Schemes for BGK Equations.- A Space–Time Conservative Method for Hyperbolic Systems of Relaxation Type.- A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa–Holm Equation.- Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains.- Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics.- Spectral Analysis of Coupled Hyperbolic–Parabolic Systems on Finite and Infinite Intervals.- Toward an Improved Capture of Stiff Detonation Waves.- Generalized Momenta of Mass and Their Applications to the Flow of Compressible Fluid.- ADER–Runge–Kutta Schemes for Conservation Laws in One Space Dimension.- Strong Boundary Traces and Well-Posedness for Scalar Conservation Laws with Dissipative Boundary Conditions.- A Relaxation Method for the Coupling of Systems of Conservation Laws.- Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations.- Numerical Simulation of Relativistic Flows Described by a General Equation of State.- On Delta-Shocks and Singular Shocks.- Finite Dimensional Representation of Solutions of Viscous Conservation Laws.- A Moving-Boundary Tracking Algorithm for Inviscid Compressible Flow.- Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media.- Counterflow Combustion in a Porous Medium.- Global Attractor and its Dimension for a Klein–Gordon–Schrödinger System.- A Few Remarks About a Theorem by J. Rauch.- A Riemann Solver Approach for Conservation Laws with Discontinuous Flux.- The Strong Shock Wave in the Problem on Flow Around Infinite Plane Wedge.- The Derivative Riemann Problem for the Baer–Nunziato Equations.- Stability of Contact Discontinuities for the Nonisentropic Euler Equations in Two-Space Dimensions.- Three-Dimensional Numerical MHD Simulations of Solar Convection.- Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain.- A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations.- Simulation of Field-Aligned Ideal MHD Flows Around Perfectly Conducting Cylinders Using an Artificial Compressibility Approach.- Vanishing at Most Seventh-Order Terms of Scalar Conservation Laws.- Large-Time Behavior for a Compressible Energy Transport Model.- Novel Entropy Stable Schemes for 1D and 2D Fluid Equations.