Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25–29, 2002

Front Matter....Pages I-XIV
Front Matter....Pages 1-1
Diffusion Limits of Kinetic Models....Pages 3-17
Viscosity Solutions for Nonlinear Hyperbolic Systems....Pages 19-41
Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media....Pages 43-51
Energy Method for Equations in Gas Dynamics....Pages 53-60
Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws....Pages 61-78
An Overview on High Order Numerical Methods for Convection Dominated PDEs....Pages 79-88
Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows....Pages 89-101
Nonlinear Boundary Layers of the Boltzmann Equation....Pages 103-110
Front Matter....Pages 111-111
An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples....Pages 113-123
The GRP Treatment of 2-D Complex Wave Structures....Pages 125-134
BV Solutions of Semidiscrete Upwind Scheme....Pages 135-142
A Supplement to Entropy Condition....Pages 143-151
Robust Treatment of Interfaces for Fluid Flows and Computer Graphics....Pages 153-164
Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors....Pages 165-174
Simplification. Conservation and Adaptivity in the Front Tracking Method....Pages 175-184
Discrete Adjoint Approximations with Shocks....Pages 185-194
Far-field Evaluation via Nonreflecting Boundary Conditions....Pages 195-204
 L 1 Stability for the One-dimensional Broadwell Model of a Discrete Velocity Gas....Pages 205-215
Recent Progress on Quantum Hydrodynamic Models for Semiconductors....Pages 217-226
Critical Thresholds and Conditional Stability for Euler Equations and Related Models....Pages 227-240
Front Matter....Pages 111-111
High Order Asymptotically Strong-Stability-Preserving Methods for Hyperbolic Systems with Stiff Relaxation....Pages 241-251
Front Matter....Pages 253-253
Some Results on the Boundary Control of Systems of Conservation Laws....Pages 255-264
Dynamics of Collapsing Bubbles Near Walls....Pages 265-274
The Riemann Problem for a Two-phase Model....Pages 275-284
Evaluation of a Well-posed Perfectly Matched Layer for Computational Acoustics....Pages 285-294
New Space Staggered and Time Interleaved 2 nd Order Finite Volume Methods....Pages 295-304
High-resolution Riemann-solver-free Methods for Conservation Laws....Pages 305-314
Riemann Problem for Conservation Laws with an Umbilic Point....Pages 315-323
Admissibility of Shock Waves and Uniqueness of the Riemann Problem....Pages 325-334
Eulerian Approximate Ray Tracing and Applications to Grid Generation....Pages 335-346
Non-convex Flux Functions and Compound Shock Waves in Sediment Beds....Pages 347-356
Derivation of Schrödinger Poisson as the Non-relativistic Limit of Klein-Gordon Maxwell....Pages 357-367
Multigrid for Atmospheric Data Assimilation: Analysis....Pages 369-376
A Theory of Implicit Methods for Scalar Conservation Laws....Pages 377-386
High-Order Schemes for Multi-Dimensional Hamilton-Jacobi Equations....Pages 387-396
On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area....Pages 397-406
Numerical Approximation of the Navier-Stokes Equations with Several Independent Specific Entropies....Pages 407-418
Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains....Pages 419-432
Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid....Pages 433-442
Discontinuous Solutions of Hamilton-Jacobi Equations: Existence, Uniqueness, and Regularity....Pages 443-453
Front Matter....Pages 253-253
Conservation Laws and O.D.E.s. A Traffic Problem....Pages 455-461
Phase Transitions and Chapman-Jouguet Combustions....Pages 463-472
Weak Stability of Multidimensional Shocks....Pages 473-481
Propagation and Interaction of Delta-Shock Waves of a Hyperbolic System of Conservation Laws....Pages 483-492
Multidimensional Compressible Flows with Symmetry....Pages 493-498
Efficient Higher-Order Finite Volume Schemes for (Real Gas) Magnetohydrodynamics....Pages 499-508
A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations....Pages 509-518
Global Solutions for a Dusty Media Model....Pages 519-528
A Constrained Transport Upwind Scheme for Divergence-free Advection....Pages 529-538
Green’s Function Pointwise Estimates for the Modified Lax-Friedrichs Scheme....Pages 539-547
A Class of Global Non-smooth Axisymmetric Solutions to the Euler Equations of an Isentropic Perfect Gas in 2 Space Dimensions....Pages 549-555
A Numerical Method for Controllability Problems for the Wave Equation....Pages 557-567
Numerical Study of a Viscous Consolidation Model....Pages 569-578
Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals....Pages 579-588
The Riemann Problem for a Phase Transition Problem in Thermoelastic Materials....Pages 589-598
The Global Existence and Large Time Behavior of Solutions to the Multidimensional Euler-Poisson Equations....Pages 599-609
Relaxation Schemes for Conservation Laws with Discontinuous Coefficients....Pages 611-620
Relaxation Models and Finite Element Schemes for the Shallow Water Equations....Pages 621-631
Second Order Approximation of the Viscous Saint-Venant System and Comparison with Experiments....Pages 633-644
Dynamics of Multilayer Shear Flows....Pages 645-654
Front Matter....Pages 253-253
Effects of Viscosity on a Shock Wave Solution of the Euler Equations....Pages 655-664
An Accurate Deterministic Projection Method for Hyperboles Systems with Stiff Source Term....Pages 665-674
Adaptive Second Order Central Schemes on Unstructured Staggered Grids....Pages 675-684
Physical Symmetries and Hyperbolic GLM Divergence Correction Scheme for Maxwell and MHD Equations....Pages 685-694
Mathematical Modelling of Traffic Flows....Pages 695-704
New High-Resolution Central-Upwind Schemes for Nonlinear Hyperbolic Conservation Laws....Pages 705-715
Afternotes on PHM: Harmonic ENO Methods....Pages 717-725
One-Dimensional Stability of Viscous Shock and Relaxation Profiles....Pages 727-733
Simulation of Cavitation in Thermodynamic Equilibrium....Pages 735-744
Semi-discrete Finite Element Method for a Class of Visco-elastic Problems with Long Memory under Condition of Friction....Pages 745-754
Global Solutions for a Free Boundary Problem of Hyperbolic Type in the Case of Non-negative Peeling Speed....Pages 755-764
Stability Analysis for Periodic Solution Waves in Viscous Conservation Laws....Pages 765-774
Scalar Conservation Laws with Boundary Effect....Pages 775-787
To the Theory of Generalized Entropy Solutions of the Cauchy Problem for a First Order Quasilinear Equation in the Class of Locally Integrable Functions....Pages 789-796
Pressure Linearization Method for the Computation of Real Fluids....Pages 797-806
Modeling and Computing Geophysical Mass Flows....Pages 807-817
Adaptive Application of Characteristic Projection for Central Schemes....Pages 819-829
Comparison of Several Difference Schemes for the Euler Equations in 1D and 2D....Pages 831-840
Adaptive Time Integration for Hyperbolic Conservation Equations....Pages 841-850
A Constrained Transport Method for the Shallow Water MHD Equations....Pages 851-860
Front Matter....Pages 253-253
Solutions with Linear Profile of Velocity to the Euler Equations in Several Dimensions....Pages 861-870
An Adaptive Order Godunov Type Central Scheme....Pages 871-880
Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme....Pages 881-888
Particle Method for Simulation of Free Surface Flows....Pages 889-898
Three Dimensional Numerical Modelling of Convective Instability by Supernova Explosion with Nested Grids Scheme on Multiprocessors Systems....Pages 899-907
A Local Level-Set Concept for Front Tracking on Arbitrary Grids....Pages 909-918
Large-Time Behavior of Solutions to the Multi-Dimensional Euler Equations with Damping....Pages 919-928
Isentropic Gas Dynamics with Large Data....Pages 929-939
Third and Fourth Order Weighted ENO Schemes for Hamilton-Jacobi Equations on 2D Unstructured Meshes....Pages 941-950
High Resolution Conjugate Filters for Hyperbolic Conservation Laws....Pages 951-957
Back Matter....Pages 959-961