Nonlinear hyperbolic problems : theoretical, applied, and computational aspects : proceedings of the Fourth International Conference on Hyperbolic Problems, Taormina, Italy, April 3 to 8, 1992

Front Matter....Pages I-IX On Spurious Difference Solutions of Discretizations of Nonlinear Hyperbolic Differential Equations....Pages 1-9 Symmetry Analysis for Waves in Hole Enlargement....Pages 10-14 Flux Formulation using a Fully 2D Approximate Roe Riemann Solver....Pages 15-22 Extended Thermodynamics of Charge Carrier Transport in Semiconductors....Pages 23-32 Resonances of Schwarzschild Black Holes....Pages 33-40 Well-Posedness of Nonlinear Hyperbolic Problems and the Dynamics of Compressible Fluids....Pages 41-47 Numerical Viscosity, Entropy Condition and Convergence of Finite Volume Schemes for General Multidimensional Conservation Laws....Pages 48-55 Existence of solutions for a class of hyperbolic systems of p conservation laws ( p ≥ 3)....Pages 56-61 Direct solution of two-dimensional scalar conservation laws with Riemann initial data by the GSC method....Pages 62-69 A Practical Hyperbolic Problem: The Unsteady Gas-Liquid Flow in a Pipe....Pages 70-76 Stability of Shock Waves for 3 × 3 Model MHD Equations....Pages 77-85 Numerical Simulation of High Frequency Scattering Waves Using Exact Controllability Methods....Pages 86-108 Discrete Boltzmann Equation with Multiple Collisions....Pages 109-118 The Burgers Equation: Explicit Solutions of an Initial Boundary Value Problem....Pages 119-126 Hyperbolic Problems in Kinetic Theory....Pages 127-137 Convergence of an Explicit Upwind Van Leer Scheme on a Triangular Mesh for Hyperbolic Equations....Pages 138-143 Large Time, Weak Solutions to Reacting Euler Equations....Pages 144-149 Classes of Exact Solutions for the Discrete Boltzmann Models....Pages 150-158 On a Class of Large Time-Step Schemes for Conservation Laws....Pages 159-170 A Numerical Technique to Compute Euler Flows at Impermeable Boundaries Based on Physical Considerations....Pages 171-178 Equivalence of Referential and Spatial Field Equations in Continuum Physics....Pages 179-183 Weak Solutions in Rate Type Dynamic Viscoplasticity....Pages 184-191 Improved Residual Smoothing....Pages 192-198 Second order Evolution Equations and Progressive Waves....Pages 199-203 Parallel Computer Solution of the Wave Equation....Pages 204-216 Numerical Solution of a Moving Boundary Hyperbolic Problem....Pages 217-226 A New Multidimensional Euler-Scheme....Pages 227-234 The influence of a source term, an example: chemically reacting hypersonic flow....Pages 235-245 Implicit Schemes for P-System Equations Via Roe’s Linearisation....Pages 246-257 A Reduction Approach for Determing Exact Solutions to a Hyperbolic Nonautonomous Model....Pages 258-267 Spectral Element-FCT Method for the Compressible Euler Equations....Pages 268-275 Multi-dimensional Riemann problems for linear hyperbolic systems: Part I....Pages 276-283 Multi-dimensional Riemann problems for linear hyperbolic systems: Part II....Pages 284-290 A Theory of Fluid Mixing....Pages 291-297 Simple Godunov-Type Schemes for Lagrangean Gas Dynamics....Pages 298-305 A Modified GMRES Method for Steady State Solutions of Hyperbolic Systems....Pages 306-314 Absorbing Boundary Conditions for Maxwell’s Equations....Pages 315-322 Shock Wave Analysis for Hyperbolic Systems of Conservation Laws Having Spatial Variability....Pages 323-328 A Mathematical Model of Traffic Flow on a Network of Roads....Pages 329-335 A Generalized Lagrangian Method for Solving the Euler Equations....Pages 336-346 Parameter Identification for a Hyperbolic Equation Modelling Chromatography....Pages 347-353 Weak Discontinuity Interaction with Shocks and the Reductive Perturbation Method with Positive and Negative Nonlinearity....Pages 354-362 Improvements of Upwind Formulations on Unstructured Meshes....Pages 363-368 Regularity of a scalar Riemann problem in two space dimensions....Pages 369-376 Convergence to Steady State of Solutions of Viscous Conservation Laws....Pages 377-384 A Conservative Front Tracking Scheme for 1D Hyperbolic Conservation Laws....Pages 385-392 Multi-Dimensional Numerical Schemes....Pages 393-400 A Linear Hyperbolic System with Stiff Source Terms....Pages 401-408 Energy Propagation in Linear Hyperbolic Systems in the Presence of Dissipation....Pages 409-415 Nonlinear Evolution of an Obliquely Propagating Hydromagnetic Wave....Pages 416-423 Two-Dimensional Boundary Layer Equations: High Resolution Capturing Methods....Pages 424-429 Characteristic Galerkin Methods for Hyperbolic Problems....Pages 430-439 The Symmetric Hyperbolic Equations of Extended Thermodynamics....Pages 440-448 Non linear Klein-Gordon equation on Schwarzschild-like metrics....Pages 449-456 Galilean Quasilinear Systems of PDE’s and the Substitution Principle....Pages 457-464 Some Asymptotic Results Concerning a Hyperbolic Mixed Problem in Viscoelasticity....Pages 465-471 Waves in Media with Periodic Fine Structure....Pages 472-480 On Some Exact Solutions of Hyperbolic Boussinesq Equation with Dissipation....Pages 481-486 Convergence of Approximate Solutions of the Cauchy Problem for a 2×2 Nonstrictly Hyperbolic System of Conservation Laws....Pages 487-494 Universal Principles for Balance Law Systems....Pages 495-503 Implicit Numerical Methods for Kinetic Equations....Pages 504-511 Travelling Wave Solutions of Convection-Diffusion Systems and Nonconservative Hyperbolic Systems....Pages 512-519 The Riemann Problem for Two-Dimensional Gas Dynamics....Pages 520-527 Flux — Vector Splitting for Compressible Low Mach Number Flow....Pages 528-535 Application of an E.N.O. Scheme to Simulate the Ion Etching Process....Pages 536-543 Entropy Dissipation in Finite Difference Schemes....Pages 544-549 The Resolution of Compressible Flow Fields by Adaptive Finite Volume Methods....Pages 550-556 Hyperbolic Conservation Laws, Finite Difference Schemes and Error Estimates....Pages 557-564 Numerical Simulation of High Speed Reactive Flows with Adaptive Mesh Refinement....Pages 565-577 A Model for Pipeline Three-Phase Flows....Pages 578-589 The Compactness of Front Tracking for Chromatography Electrophoresis and Incompressible Multiphase Flow....Pages 590-596 Singular Perturbations of First-Order Hyperbolic Systems....Pages 597-604 Back Matter....Pages 605-613