Editors F. Asakura, S. Kawashima,
A Matsumura, S. Nishibata, K. Nishihara

Hyperbolic Problems: Theory Numerics and Applications -I-

Osaka JAPAN, 2004 ISBN 4-946552-21-9

PlenaryTalks
Glimm Functional for BGK Schemes
Stefano Bianchini

The Geometric Approach to Nonlinear Hyperbolic Systems
Philippe G. LeFloch

On Incompressible Navier-Stokes Dynamics: A New Approach for Analysis and
Computation
Jian-Guo Liu, Jie Liu, and Robert L. Pego

Waves in Systems of Conservation Laws: Large vs Small Scales
Denis Serre

Shock Wave Cosmology Inside a Black Hole: A Computer Visualization
Joel Smoller, Blake Temple, and Zeke Vogler

Invited Talks

Nonclassical Topological Construction of Riemann Solutions
A. V. Azevedo, C. S. Eschenazi, D. Marchesin, and C. F. Palmeira : : :

Non-cooperative Differential Games
Alberto Bressan and Wen Shen

Some Problems in the Theory of Multidimensional Hyperbolic Conservation
Laws
Gui-Qiang Chen

Adaptive Central-Upwind Schemes for Hyperbolic Systems of Conservation
Laws
Lucian A. Constantin and Alexander Kurganov

The Chain Rule for the Divergence of BV-like Vector Fields
Camillo De Lellis

Localized Non-blowup Conditions for 3D Incompressible Euler Equations
Jian Deng, Thomas Y. Hou, and Xinwei Yu

Dynamics of Turing Patterns for Reaction-Diffusion Systems in a Cylindrical
Domain on 2D
Shin-Ichiro Ei

Vorticity Preserving Finite Volume Method for the Wave Equation System
Michael Fey and Manuel Torrilhon

A Mixed Finite-Element Scheme of a Semiconductor Energy-Transport Model
Using Dual Entropy Variables
Stephan Gadau, Ansgar Jungel, and Paola Pietra

Phase Transition in Compressible Media and Nonlocal Capillarity Terms
Jenny Haink and Christian Rohde

Stability of Undercompressive Shocks
Peter Howard and Kevin Zumbrun

Periodic Solutions to the 1-Dimensional Compressible Euler Equation with
Gravity
Cheng-Hsiung Hsu, Song-Sun Lin, and Tetu Makino

Long Wave Approximations for Capillary-gravity Waves and an Effect of the
Bottom
Tatsuo Iguchi

Stability of Viscous Shocks on Finite Intervals
Gunilla Kreiss, Heinz-Otto Kreiss, and Jens Lorenz

Qualitative Properties of Solutions to a Reaction-Diffusion Equation with Advection Modelling Chemotaxis
Toshitaka Nagai

On the Entropy Stability of Difference Schemes: A Comparison Principle and
a Homotopy Approach
Eitan Tadmor

The Pointwise Estimate of Solutions for Navier-Stokes Equations in Multidimensions
Weike Wang

On Transonic Shocks in a Nozzle
Zhouping Xin and Huicheng Yin

Contributed Talks

An Application of Retroactive Characteristic Method to Conservative Scheme
for Structure Problems (Elastic-Plastic Flows)
Moustafa Abouziarov and Hideaki Aiso

Instability Analysis in Conservative Difference Approximations for Compressible
Euler Equations-Toward Understanding the Carbuncle Phenomenon-
Hideaki Aiso and Moustafa Abouziarov

Time-dependent Boundary Value Problems for Maxwell Equations and their
Generalized Solutions
Lyudmila A. Alexeyeva

Short-time Well-posedness of Free-Surface Problems in 2D Fluids
David M. Ambrose

Wave Processes at Interfaces
Sigrid Andreae, Josef Ballmann, and Siegfried Muller

Construction of Stable PMLs for General 2*2 Symmetric Hyperbolic Systems
Daniel Appelo and Thomas Hagstrom

Logarithmic Reconstructions
Robert Artebrant and H. Joachim Schroll

Existence of Viscous Profiles for Conservation Laws with an Umbilic Point
Fumioki Asakura and Mitsuru Yamazaki

KCL, Ray Theories and Application to Sonic Boom
S. Baskar and Phoolan Prasad

A Finite Element Method for Computing Shear Band Formation
Th. Baxevanis, Th. Katsaounis, and A. Tzavaras

Conservation Law System for Two-Phase n-Component Flow in Porous Media:
Splitting between Thermodynamics and Hydrodynamics
P. G. Bedrikovetsky, A. P. Pires, and A. A. Shapiro

On Korteweg Models for Fluids Exhibiting Phase Changes
Sylvie Benzoni-Gavage, Raphael Danchin, Stephane Descombes, and Didier Jamet

On the Riemann Problem in Extended Thermodynamics
Francesca Brini and Tommaso Ruggeri

Maximum Principles in a Certain Hyperbolic Equation
Jose Cabrerizo and Aureliano M. Robles-Perez

Mathematical Analysis of a Population Dynamics System with Strong Cross-Diffusion
Li Chen

A High-resolution Method for Realistic Detonation Structure Simulation
R. Deiterding

Two-phase Flow through Injection Nozzles
Christian Dickopp and Josef Ballmann

Well Balanced Discontinuous Galerkin Schemes for the Navier-Stokes-Korteweg Equations
Dennis Diehl

Convergence to Stationary States in Spatially Inhomogeneous Balance Laws
Julia Ehrt and Jorg Harterich

Nonuniqueness of Entropy Solutions and the Carbuncle Phenomenon
Volker Elling

On a Stability Theorem of the Navier-Stokes Equation in an Exterior Domain
Yuko Enomoto and Yoshihiro Shibata

On a Semi-implicit Discontinuous Galerkin FEM for the Nonstationary
Compressible Euler Equations
Miloslav Feistauer, Vit Dolejsi, and Vaclav Kucera

Entropy Method for the Linearized Cometary Flow Equation Klemens Fellner, Vera Miljanovic, and Christian Schmeiser
A Convergence Result on the Burgers Equation of Conservation Laws
Naoki Fujino and Mitsuru Yamazaki

Failure Wave Propagation Based on the Model of Two-State Substance
M. A. Grinfeld, S. D. Schoenfeld, and T. W. Wright

On the Numerical Solution of the Hyperbolic Proppant Transport Problem
Hongren Gu and Eduard Siebrits

Author Index

Editors F. Asakura, S. Kawashima,
A Matsumura, S. Nishibata, K. Nishihara

Hyperbolic Problems: Theory Numerics and Applications -II-

Osaka JAPAN, 2004 ISBN 4-946552-22-7

Accurate Methods for Hyperbolic Problems on Embedded Boundary Grids
Christiane Helzel

Relaxation Time Limit Problems for Nonisentropic Euler-Poisson Equations
Ling Hsiao and Yong Li

Contact Discontinuity for Compressible Navier-Stokes Equations
Feimin Huang

On the Stability of Viscous-Dispersive Fronts
Jeffrey Humpherys
Subcritical Endemic Equilibria in an Age-Duration-Structured HIV/AIDS
Epidemic Model
Hisashi Inaba

Existence of a Weak Solution in an Infinite Viscoelastic Strip with a Semiinfinite
Crack
Hiromichi Itou

Quantum Euler-Poisson Equation
Yueling Jia

A Conservative Front Tracking Method
Jinjie Liu, James Glimm, and Xiaolin Li

On Strong Convergence in Vortex Sheets Problem for 3-D Axisymmetric Euler
Equations
Quansen Jiu and Zhouping Xin

Global Convergence from Quantum Hydrodynamics to Quantum Drift-Diffusion
Ansgar Jungel, Hai-Liang Li, and Akitaka Matsumura

Digital Transport Algorithm for Hyperbolic Equations
S. A. Karabasov and V. M. Goloviznin

Stability and Convergence of Relaxation Finite Element Schemes for the
Incompressible Navier-Stokes Equations
Theodoros Katsaounis, Charalambos Makridakis, and Chiara Simeoni

Scattering Theory for the Elastic Wave Equations in Perturbed Half-spaces and
Representation of the Scattering Kernel
Mishio Kawashita, Wakako Kawashita, and Hideo Soga

On the Existence of Renormalized Dissipative Solutions via Relaxation for
Conservation Laws
Kazuo Kobayasi and Satoru Takagi

A Note on Constants of Motion for the Lotka-Volterra and Replicator Equations
Ryusuke Kon

On the Model of Compressible Flows in a Nozzle: Mathematical Analysis and
Numerical Methods
Dietmar Kroner and Mai Duc Thanh

Lp-Lq Estimate of the Stokes Semigroup and its Application to Navier.Stokes
Equation in a Perturbed Half-space
Takayuki Kubo and Yoshihiro Shibata

Conservative Remapping and ALE Methods for Plasma Physics
Milan Kucharik, Richard Liska, and Mikhail Shashkov

A High Order Gas kinetic Method for the Relativistic Euler Equations
Matthias Kunik, Shamsul Qamar, and Gerald Warnecke

Study on Some Nonlocal Parabolic Equations and Systems Arising in Applied
Sciences
Fucai Li

Stability of CJ Detonations with a Two-Step Reaction Model
Tong Li

Global Entropy Solutions to the Relativistic Euler Equations
Yachun Li

Regularizing Rate Estimates for the Navier-Stokes Equations
Hideyuki Miura and Okihiro Sawada

Analysis of Composite Wave Curves for Non.Convex Systems of Conservation
Laws
Siegfried Muller and Alexander Vos

Asymptotic Behavior of Spherically Symmetric Flow for Heat-conductive Fluid
in a Field of External Forces
Tohru Nakamura and Shinya Nishibata

A Free Boundary Problem of Hyperbolic Type: Non Constant Adhesion Case
Kazuaki Nakane and Tomoko Shinohara

Periodic Vortical Flows of an Incompressible Ideal Fluid with Free Boundary
Masao Ogawa and Atusi Tani

An Example of Nonuniqueness for the Viscous Limit of a Nonstrictly Hyperbolic
System of Equations
Daniel N. Ostrov

Numerical Simulation of Volcanic Jets
Marica Pelanti and Randall J. LeVeque

Nonevolutionary MHD Shocks: A Critical Survey
N. V. Pogorelov

The Entropy Regularity Indicator for Finite Volume Schemes
Gabriella Puppo

Staggered Finite Difference Schemes for Balance Laws
Gabriella Puppo and Giovanni Russo

Conservative Hyperbolic Model for Two-Phase Flow and One-Dimensional
Waves
E. Romenski and E. F. Toro

High-Order Residual Distribution Schemes for Steady 1D Relativistic Hydrodynamics
James A. Rossmanith

Entropy Principle and Global Existence of Smooth Solutions in Extended
Thermodynamics
Tommaso Ruggeri

Hyperbolic Stochastic Partial Differential Equations as a Tool for Solving the
Fokker-Planck PDF Transport Equation of Turbulent Reactive Scalars
V. Sabel'nikov and O. Soulard

A Numerical Method for Tracking the Level Set by Infinite Precision Numerical
Simulation
Hideo Sakaguchi and Hitoshi Imai

Lightlike Shock Waves in General Relativity
Michael B. Scott

Clustering Induced by Blast Waves in Inelastic Granular Gases
Susana Serna

Global Existence of Strong Solution to the Micropolar Fluid System
Yoshihiro Shibata and Norikazu Yamaguchi

Dynamics of a Purely Nonlinear One-Dimensional Elastic Body
Sadao Shimoji

A Model Equation for Peak Formation in Two-phase Flow
Bjorn Sjogreen, Katarina Gustavsson, and Reynir Levi Gudmundsson

On a New System of Klein-Gordon-Schrodinger Type
Nikolaos M. Stavrakakis

Interior Regularity Criterion via Pressure on Weak Solutions to the Navier-
Stokes Equations
Tomoyuki Suzuki

Various Forms of ADER Schemes for Nonlinear Conservation Laws with Source
Terms and Their Verification
Yoko Takakura

Numerical Pseudo-Convergence for a MHD Model System
Manuel Torrilhon

A CTCS Divergence Treatment for Ideal MHD
Rony Touma and Paul Arminjon

Numerical Methods for Euler Equations Using Fully Two-dimensional HLLEC
Riemann Solver
Pavel Vachal, Richard Liska, and Burton Wendroff

Nonlinear Fluid-dynamic PDEs and Multiscale Analysis
Shu Wang

The Jeans Instability for a One-dimensional Model System of Compressible
Viscous Fluids
Yoshitaka Yamamoto

Performance of Adaptive Numerical Dissipation Control in High Order Methods
for the Resistive MHD Equations
H. C. Yee and B. Sjogreen

Formulation Problem of the Einstein Equation for Numerical Simulations
Gen Yoneda and Hisa-aki Shinkai

Generalized Solutions of Boundary Value Problems for Second Order Hyperbolic Systems
Gulmira K. Zakiryanova :

Cauchy Problem for the Vlasov-Poisson-Boltzmann System
Huijiang Zhao

Shock Reflection for the Euler System
Yuxi Zheng

Author Index

Editors A. Miyachi , E. Nakai, M. Okada

Harmonic Analysis and its Applications

ISBN 4-946552-20-0
Paperback pp. 122

Hiroaki Aikawa
Characterization of a uniform domain by the boundary Harnack principle

Wayne Lawton and Yongwimon Lenbury
Interpolatory properties of trajectories in Lie groups
Thormas Kuhn
Gaven J. Martin
Minimising Mean Distortion

Malabika Pramanik and Andreas Seeger
Lp Sobolev regularity of a restricted X-ray transform in R3

Leszek Skrzypczak
Smoothing properties and compactness of Riesz-Bessel potentials on symmetric spaces of noncompact type

Michael Ruzhansky and Mitsuru Sugimoto
Global boundedness theorems for Fourierintegral operators associated with canonical transformations

Alexander Volberg
On a theorem of Videnskii-Shirokov

Bin Xu
Asymptotic behavior of L2-normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifold