Hyperbolic Problems: Theory, Numerics, Applications

Transcription

1 Hyperbolic Problems: Theory, Numerics, Applications Seventh International Conference in Zürich, February 1998 Volume II Edited by Michael Fey Rolf Jeltsch Birkhäuser Verlag Basel Boston Berlin

2 Contents Volume 2 Patrick Jenny and Bernhard Müller A New Approach for a Flux Solver Taking into Account Source Terms, Viscous and Multidimensional Effects 503 Helge Kristian Jenssen and Carlo Sinestrari Blowup for Hyperbolic Equations 515 F. Jochmann Some Analytical Results Concerning the Drift Diffusion Equations for Semiconductor Devices Coupled with Maxwell's Equations 525 Alexandre V. Kazhikhov and Alexandre E. Mamontov Transport Equations and Orlicz Spaces 535 Runhild Aae Klausen and Nils Henrik Risebro Well-posedness of a 2 x 2 System of Resonant Conservation Laws 545 Christian Klingenberg and Yun-Guang Lu The Relaxation Limit for Systems of Broadwell Type 553 Alfred Kluwick Weakly-nonlinear Hyperbolic Waves in BZT-fiuids 559 Martin Koeber Inclusion of Solutions of Cauchy Problems for Quasilinear Hyperbolic Equations 569 Barry Koren and Arthur Venis A Fed Back Level-Set Method for Moving Material-Void Interfaces 579 A.G. Kulikovskii, N.V. Pogorelov, and A.Yu. Semenov Mathematical Aspects of Numerical Solution of Hyperbolic Systems Philippe G. LeFloch Existence of Entropy Solutions for the Compressible Euler Equations Randall J. Le Veque and Derek S. Bale Wave Propagation Methods for Conservation Laws with Source Terms 609 M.P. Levin Quasi-Characteristics Numerical Schemes 619 Jiequan Li and Tong Zhang On the Initial-value Problem for Zero-pressure Gas Dynamics 629

3 VI Contents Tong Li Stability and Instability of Detonation Waves 641 Salvatore Fabio Liotta, Vittorio Romano and Giovanni Russo Central Scheines for Systems ol Balance Laws 651 Richard Liska and Burton Wendroff Composite Centered Scheines for Multidimensional Conservation Laws 661 Hailiang Liu On the Diffusion Limit of a Hyperbolic Relaxation System 671 Tai-Ping Liu and Tong Yang Well-Posedness Theory for System of Hyperbolic Conservation Laws Tao Luo and Zhouping Xin Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions 693 D.K. Mao Front Tracking Based on Conservation in One and Two Space Dimensions 703 Jochen Maurer A Genuinely Multi-dimensional Scheme for Mixed Hyperbolic-Parabolic Systems 713 Guy Metivier, Jean-Luc Joly and Jeffrey Rauch Recent Results in Non Linear Geometrie Optics 723 K.W. Morton Evolution-Galerkin Methods: Algorithms and Analysis from a Finite Difference Viewpoint 737 Giovanni Naldi, Lorenzo Pareschi and Giuseppe Toscani Hyperbolic Relaxation Approximation to Nonlinear Parabolic Problems 747 Sebastian Noelle A Comparison of Third and Second Order Accurate Finite Volume Schemes for the Two-dimensional Compressible Euler Equations 757 Daniel Ostrov Unique Solutions to Discontinuous Hamilton-Jacobi Equations in Shape-From-Shading 767 Jochen Peitz and Stefan Appl Relativistic Dissipative Hydrodynamics in the 3+1 Formulation 773

4 Contents vn Yulian B. Radvogin and Nikolay A. Zaitsev Absolutely Transparent Boundary Conditions for Time-Dependent Wave-Type Problems 783 Olga S. Rozanova Blow-up of Solutions in System of Atmosphere Dynamics 793 M. Ruzhansky Holomorphic Factorization for the Solution Operators for Hyperbolic Equations 803 Yurii G. Rykov The Propagation of Shock Waves in 2-D System of Pressureless Gas Dynamics 813 H. Joachim Schroll and Jens Lorenz Hyperbolic Systems with Relaxation: Symmetrizers and Entropies 823 Igor Selezov Some Hyperbolic Models for Wave Propagation 833 Denis Serre Discrete Shock Profiles and Their Stability 843 J.A. Sethian Advances in Fast Marching and Level Set Methods for Propagating Interfaces 855 Wen Shen, Asiat Tveito and, Ragnar Winther Rate of Convergence for the Zero Relaxation Limit 865 Spencer Sherwin A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws 875 Armen Shirikyan and Leonid Volevich Asymptotic Properties of Solutions to High-Order Hyperbolic Equations Generalizing the Damped Wave Equation 885 Keh-Ming Shyue A Volume-of-fluid Type Algorithm for Compressible Two-phase Flows 895 P.C. Sleziona, M. Auweter-Kurtz, C. Boie, J. Bleiermann and S. Lenzner Numerical Code for Magneto-Plasma Flows 905 Ivan L. Sofronov Highly-Accurate Artificial Boundary Conditions for Unsteady Transonic Flow Problems in Wind Tunnels 915

5 Vlll Contents Eitan Tadmor and Tao Tang Pointwise Convergence Rate for Nonlinear Conservation Laws 925 Tiana Tefy and Penelope Leyland Newton-GMRES Resolution of 111 Conditioned Hyperbolic Systems in Fluid Dynamics 935 Blake Temple and Joel Smoller Applications of Shock-Waves in General Relativity 945 Vladimir M. Teshukov The Riemann Problem for the Integrodifferential Equations of the Shallow Water Theory 953 Konstantina Trivisa Decay and Uniqueness of Solutions of Nonlinear Hyperbolic Conservation Laws via Generalized Characteristics 963 Rolf Walder and Doris Folini Radiative Shocks, Supersonic Turbulence and Structure Formation in Space 973 Michael Westdickenberg and Sebastian Noelle A New Convergence Proof for FV Scheines 983 Harry Yserentant The Particle Model of Compressible Fluids 993 Susanne Amy Zimmermann The Method of Transport for the Euler Equations Written as a Kinetic Scheme 999 List of Participants 1009