Hyperbolic Problems: Theory, Numerics, Applications

1. Convergence of the Godunov Scheme for Straight Line Systems

   • Alberto Bressan, Helge Kristian Jenssen

   Pages 187-196

2. The Convergence of Multicomponent Chromatography with Relaxation

   • Alberto Bressan, Wen Shen

   Pages 197-205

3. A Strongly Degenerate Convection-diffusion Problem Modeling Centrifugation of Flocculated Suspensions

   • Raimund Bürger, Kenneth Hvistendahl Karlsen

   Pages 207-216

4. Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation

   • Sunčica Čanić, Eun Heui Kim, Barbara Lee Keyfitz

   Pages 217-226

5. A Hyperbolic System of Conservation Laws in Modeling Endovascular Treatment of Abdominal Aortic Aneurysm

   • Sunčica Čanić, Dragan Mirković

   Pages 227-236

6. Study on Supersonic Flow Past a Pointed Body

   • Shuxing Chen

   Pages 237-245

7. Fine-Mesh Numerical Simulations for 2D Riemann Problems with a Multilevel Scheme

   • G. Chiavassa, R. Donat, A. Marquina

   Pages 247-256

8. Multiresolution Analysis on Triangles: Application to Gas Dynamics

   • Albert Cohen, Sidi Mahmoud Kaber, Marie Postel

   Pages 257-266

9. Propagation and Interaction of Nonlinear Waves to Quasilinear Equations

   • V. G. Danilov, V. M. Shelkovich

   Pages 267-276

10. MHD Instabilities Arising in Solar Physics: A Numerical Approach

    • Andreas Dedner, Dietmar Kröner, Christian Rohde, Matthias Wesenberg

    Pages 277-286

11. Numerical Methods for the Real Gas MHD Equations

    • Andreas Dedner, Matthias Wesenberg

    Pages 287-296

12. Towards a Kinetic Model of Turbulent Incompressible Fluids

    • P. Degond, M. Lemou

    Pages 297-306

13. Parabolic Relaxation of Semilinear Multidimensional Hyperbolic Systems

    • Donatella Donatelli, Pierangelo Marcati

    Pages 307-316

14. Large Time Asymptotics in Contaminant Transport in Porous Media with Variable Diffusion

    • Gema Duro, Enrique Zuazua

    Pages 317-325

15. A Nonlinear Flux Vector Split Defect Correction Scheme for Fast Solutions of the Euler and Navier-Stokes Equations

    • Albrecht Eberle

    Pages 327-336

16. A Continuous Dependence Result for Nonlinear Degenerate Parabolic Equations with Spatially Dependent Flux Function

    • S. Evje, K. H. Karlsen, N. H. Risebro

    Pages 337-346

17. A Lagrangian Central Scheme for Multi-Fluid Flows

    • Riccardo Fazio, Giovanni Russo

    Pages 347-356

18. Ultimate Boundedness, Propagation of Oscillations, and the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Fluid Flows

    • Eduard Feireisl

    Pages 357-362

19. Adaptive Methods for the Solution of Compressible Flow

    • M. Feistauer, A. Kliková

    Pages 363-372

20. The MoT-ICE: A New Multi-dimensional Wave-propagation-algorithm Based on Fey’s Method of Transport. With Application to the Euler- and MHD-equations

    • Michael Fey, Sebastian Noelle, Christian von Törne

    Pages 373-380

The Eighth International Conference on Hyperbolic Problems - Theory, Nu­ merics, Applications, was held in Magdeburg, Germany, from February 27 to March 3, 2000. It was attended by over 220 participants from many European countries as well as Brazil, Canada, China, Georgia, India, Israel, Japan, Taiwan, und the USA. There were 12 plenary lectures, 22 further invited talks, and around 150 con­ tributed talks in parallel sessions as well as posters. The speakers in the parallel sessions were invited to provide a poster in order to enhance the dissemination of information. Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. Despite considerable progress, the mathematical theory is still strug­ gling with fundamental open problems concerning systems of such equations in multiple space dimensions. For various applications the development of accurate and efficient numerical schemes for computation is of fundamental importance. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended ther­ modynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability ofshock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite ele­ ment schemes, adaptive, multiresolution, and artificial dissipation methods.

• Numerical analysis
• elasticity theory
• fluid mechanics
• partial differential equations
• approximation
• calculus
• differential equation
• equation
• finite element method
• function
• hyperbolic partial differential equation
• Manifold
• Mathematica
• Maxwell's equations
• numerical analysis
• numerics
• partial differential equation
• variable
• wave equation

• Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

  Heinrich Freistühler

• Otto-von-Guericke-University, Institute of Analysis and Numerical Mathematics, Magdeburg, Germany

  Gerald Warnecke

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