Hyperbolic Problems

by Benzoni-gavage, Sylvie; Serre, Denis

• ISBN13: 9783540757115
• ISBN10: 3540757112
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-01-15
• Publisher: Springer Verlag

Summary

This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications held at the Ecole Normale SupA(c)rieure de Lyon, France, July 17-21, 2006. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modelling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly. The field is currently in interaction with a variety of scientific domains, including fluid dynamics, physics, electromagnetism, chemistry, biology, road and network traffic, and engineering. Many of these papers present new effective numerical methods and their application in various contexts.

Table of Contents

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
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