Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Ninth International Conference on Hyperbolic Problems Held in Caltech, Pasaden

ISBN-13: 9783642629297 / Angielski / Miękka / 2012 / 961 str.

Thomas Y. Hou; Eitan Tadmor

Opis

The International Conference on "Hyperbolic Problems: Theory, Nu merics and Applications" was held in CalTech on March 25-30, 2002. The Hyp2002 conference was the ninth meeting in the bi-annual international se ries which became one of the highest quality and most successful conference series in Applied Mathematics. This series originated in 1986 at Saint-Etienne, with an earlier focus on the theoretical aspects of hyperbolic conservation laws. As computers became more powerful in the late eighties, and as the interplay between new models, theory and modern numerical algorithms has gained considerable impact dur ing the nineties, the scope of the Hyperbolic conference series was expanded to its present format. This trend is demonstrated, for example, by many effective numerical methods developed originally in the context of Computational Fluid Dynam ics, which in recent years have found new applications outside their traditional areas. Consequently, in addition to its traditional areas, the Hyp2002 has added new focal points. These included multiscale modeling and simulations, e.g., in deriving and simulating meso- and nano-scale material properties in micro devices, geophysical applications such as wave propagation in ran dom media, and coarsening of multi-phase flows through porous media, and free boundary problems arising from materials science and multi-component fluid dynamics, including thin films, crystal growth, multi-fluid interfaces, solid/liquid interfaces."

Spis treści

Plenary Talks.- Diffusion Limits of Kinetic Models.- Viscosity Solutions for Nonlinear Hyperbolic Systems.- Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media.- Energy Method for Equations in Gas Dynamics.- Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws.- An Overview on High Order Numerical Methods for Convection Dominated PDEs.- Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows.- Nonlinear Boundary Layers of the Boltzmann Equation Invited Talks.- Invited Talks.- An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples.- The GRP Treatment of 2-D Complex Wave Structures.- BV Solutions of Semidiscrete Upwind Scheme.- A Supplement to Entropy Condition.- Robust Treatment of Interfaces for Fluid Flows and Computer Graphics.- Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors.- Simplification, Conservation and Adaptivity in the Front Tracking Method.- Discrete Adjoint Approximations with Shocks.- Far-field Evaluation via Nonreflecting Boundary Conditions.- L1 Stability for the One-dimensional Broadwell Model of a Discrete Velocity Gas.- Recent Progress on Quantum Hydrodynamic Models for Semiconductors.- Critical Thresholds and Conditional Stability for Euler Equations and Related Models.- High-order Asymptotically Strong-stability-preserving Methods for Hyperbolic Systems with Stiff Relaxation.- Contributed Talks.- Some Results on the Boundary Control of Systems of Conservation Laws.- Dynamics of Collapsing Bubbles Near Walls.- The Riemann Problem for a Two-phase Model.- Evaluation of a Well-posed Perfectly Matched Layer for Computational Acoustics.- New Space Staggered and Time Interleaved 2nd Order Finite Volume Methods.- High-resolution Riemann-solver-free Methods for Conservation Laws.- Riemann Problem for Conservation Laws with an Umbilic Point.- Admissibility of Shock Waves and Uniqueness of the Riemann Problem.- Eulerian Approximate Ray Tracing and Applications to Grid Generation.- Non-convex Flux Functions and Compound Shock Waves in Sediment Beds.- Derivation of Schrödinger Poisson as the Non-relativistic Limit of Klein-Gordon Maxwell.- Multigrid for Atmospheric Data Assimilation: Analysis.- A Theory of Implicit Methods for Scalar Conservation Laws.- High-Order Schemes for Multi-Dimensional.- On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area.- Numerical Approximation of the Navier-Stokes Equations with Several Independent Specific Entropies.- Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains.- Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid.- Discontinuous Solutions of Hamilton-Jacobi Equations: Existence, Uniqueness, and Regularity.- Conservation Laws and O.D.E.s.: A Traffic Problem.- Phase Transitions and Chapman-Jouguet Combustions.- Weak Stability of Multidimensional Shocks.- Propagation and Interaction of Delta-Shock Waves of a Hyperbolic System of Conservation Laws.- Multidimensional Compressible Flows with Symmetry.- Efficient Higher-Order Finite Volume Schemes for (Real Gas) Magnetohydrodynamics.- A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations.- Global Solutions for a Dusty Media Model.- A Constrained Transport Upwind Scheme for Divergence-free Advection.- Green’s Function Pointwise Estimates for the Modified Lax-Friedrichs Scheme.- A Class of Global Non Smooth Axisymmetric Solutions to the Euler Equation s of an Isentropic Perfect Gas in 2 Space Dimensions.- A Numerical Method for Cont rollability Problems for the Wave Equation.- Numerical Study of a Viscous Consolidation Model.- Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals.- The Riemann Problem for a Phase Transition Problem in Thermoelastic Materials.- The Global Existence and Large Time Behavior of Solutions to the Multidimensional Euler-Poisson Equations.- Relaxation Schemes for Conservation Laws with Discontinuous Coefficients.- Relaxation Models and Finite Element Schemes for the Shallow Water Equations.- Second-order Approximation of the Viscous Saint-Venant System and Comparison with Experiments.- Dynamics of Multilayer Shear Flows.- Effects of Viscosity on a Shock Wave Solution of the Euler Equations.- An Accurate Deterministic Projection Method for Hyperbolic Systems with Stiff Source Term.- Adaptive Second Order Central Schemes on Unstructured Staggered Grids.- Physical Symmetries and Hyperbolic GLM Divergence Correction Scheme for Maxwell and MHD Equations.- Mathematical Modelling of Traffic Flows.- New High-Resolution Central-Upwind Schemes for Nonlinear Hyperbolic Conservation Laws.- Afternotes on PHM: Harmonic ENO methods.- One-dimensional Stability of Viscous Shock and Relaxation Profiles.- Simulation of Cavitation in Thermodynamic Equilibrium.- Semi-discrete Finite Element Method for a Class of Visco-elastic Problems with Long Memory under Condition of Friction.- Global Solutions for a Free Boundary Problem of Hyperbolic Type in the Case of Non-negative Peeling Speed.- Stability Analysis for Periodic Solution Waves in Viscous Conservation Laws.- Scalar Conservation Laws with Boundary Effect.- To the Theory of Generalized Entropy Solutions of the Cauchy Problem for a First Order Quasilinear Equation in the Class of Locally Integrable Functions.- Pressure Linearization Method for the Computation of Real Fluids.- Modeling and Computing Geophysical Mass Flows.- Adaptive Application of Characteristic Projection for Central Schemes.- Comparison of Several Difference Schemes for the Euler Equations in 1D and 2D.- Adaptive Time Integration for Hyperboli c Conservation Equations.- A Constrained Transport Method for the Shallow Water MHD Equations.- Solutions with Linear Profile of Velocity to the Euler Equations in Several Dimensions.- An Adaptive Order Godunov Type Central Scheme.- Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme.- Particle Method for Simulation of Free Surface Flows.- Three-dimensional Numerical Modelling of Convective Instability by Supernova Explosion with Nested Grid s Scheme on Multiprocessors Systems.- A Local Level-Set Concept for Front Tracking on Arbitrary Grids.- Large-Time Behavior of Solutions to the Multi-Dimensional Euler Equations with Damping.- Isentropic Gas Dynamics with Large Data.- Third and Fourth Order Weighted ENO Schemes for Hamilton-Jacobi Equations on 2D Unstructured Meshes.- High Resolution Conjugate Filters for Hyperbolic Conservation Laws.- List of Participants.

Blurb

The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 25-30, 2002. The conference was the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multi-scale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multi-component fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.