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Description
(Text)
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 Supérieure 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 content)
Plenary Lectures.- Invited Lectures.- Mini-Symposium on Hydraulics.- Contributed Talks. 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 Lagran
Contents
Plenary Lectures.- Invited Lectures.- Mini-Symposium on Hydraulics.- Contributed Talks.