Hyperbolic Problems: Theory, Numerics, Applications: Seventh International Conference in Zürich, February 1998 Volume II

Front Matter....Pages i-xii
A New Approach for a Flux Solver Taking into Account Source Terms, Viscous and Multidimensional Effects....Pages 503-513
Blowup for Hyperbolic Equations....Pages 515-524
Some Analytical Results Concerning the Drift Diffusion Equations for Semiconductor Devices Coupled with Maxwell’s Equations....Pages 525-534
Transport Equations and Orlicz Spaces....Pages 535-544
Well-posedness of a 2 × 2 System of Resonant Conservation Laws....Pages 545-552
The Relaxation Limit for Systems of Broadwell Type....Pages 553-557
Weakly-nonlinear Hyperbolic Waves in BZT-fluids....Pages 559-568
Inclusion of Solutions of Cauchy Problems for Quasilinear Hyperbolic Equations....Pages 569-578
A Fed Back Level-Set Method for Moving Material-Void Interfaces....Pages 579-588
Mathematical Aspects of Numerical Solution of Hyperbolic Systems....Pages 589-598
Existence of Entropy Solutions for the Compressible Euler Equations....Pages 599-607
Wave Propagation Methods for Conservation Laws with Source Terms....Pages 609-618
Quasi-Characteristics Numerical Schemes....Pages 619-628
On the Initial-value Problem for Zero-pressure Gas Dynamics....Pages 629-640
Stability and Instability of Detonation Waves....Pages 641-650
Central Schemes for Systems of Balance Laws....Pages 651-660
Composite Centered Schemes for Multidimensional Conservation Laws....Pages 661-670
On the Diffusion Limit of a Hyperbolic Relaxation System....Pages 671-679
Well-Posedness Theory for System of Hyperbolic Conservation Laws....Pages 681-691
Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions....Pages 693-702
Front Tracking Based on Conservation in One and Two Space Dimensions....Pages 703-712
A Genuinely Multi-dimensional Scheme for Mixed Hyperbolic-Parabolic Systems....Pages 713-722
Recent Results in Non Linear Geometric Optics....Pages 723-736
Evolution-Galerkin Methods: Algorithms and Analysis from a Finite Difference Viewpoint....Pages 737-746
Hyperbolic Relaxation Approximation to Nonlinear Parabolic Problems....Pages 747-756
A Comparison of Third and Second Order Accurate Finite Volume Schemes for the Two-dimensional Compressible Euler Equations....Pages 757-766
Unique Solutions to Discontinuous Hamilton-Jacobi Equations in Shape-From-Shading....Pages 767-772
Relativistic Dissipative Hydrodynamics in the 3+1 Formulation....Pages 773-782
Absolutely Transparent Boundary Conditions for Time-Dependent Wave-Type Problems....Pages 783-792
Blow-up of Solutions in System of Atmosphere Dynamics....Pages 793-801
Holomorphic Factorization for the Solution Operators for Hyperbolic Equations....Pages 803-811
The Propagation of Shock Waves in 2-D System of Pressureless Gas Dynamics....Pages 813-822
Hyperbolic Systems with Relaxation: Symmetrizers and Entropies....Pages 823-832
Some Hyperbolic Models for Wave Propagation....Pages 833-842
Discrete Shock Profiles and Their Stability....Pages 843-853
Advances in Fast Marching and Level Set Methods for Propagating Interfaces....Pages 855-864
Rate of Convergence for the Zero Relaxation Limit....Pages 865-874
A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws....Pages 875-884
Asymptotic Properties of Solutions to High-Order Hyperbolic Equations Generalizing the Damped Wave Equation....Pages 885-894
A Volume-of-fluid Type Algorithm for Compressible Two-phase Flows....Pages 895-904
Numerical Code for Magneto-Plasma Flows....Pages 905-914
Highly-Accurate Artificial Boundary Conditions for Unsteady Transonic Flow Problems in Wind Tunnels....Pages 915-924
Pointwise Convergence Rate for Nonlinear Conservation Laws....Pages 925-934
Newton-GMRES Resolution of Ill Conditioned Hyperbolic Systems in Fluid Dynamics....Pages 935-944
Applications of Shock-Waves in General Relativity....Pages 945-952
The Riemann Problem for the Integrodifferential Equations of the Shallow Water Theory....Pages 953-962
Decay and Uniqueness of Solutions of Nonlinear Hyperbolic Conservation Laws via Generalized Characteristics....Pages 963-972
Radiative Shocks, Supersonic Turbulence and Structure Formation in Space....Pages 973-982
A New Convergence Proof for FV Schemes....Pages 983-992
The Particle Model of Compressible Fluids....Pages 993-998
The Method of Transport for the Euler Equations Written as a Kinetic Scheme....Pages 999-1008
Back Matter....Pages 1009-1011