This book contains 80 original research and review papers
which are written by leading researchers and promising young
scientists, which cover a diverse range of multi- disciplinary
topics addressing theoretical, modeling and computational issues
arising under the umbrella of ""Hyperbolic Partial Differential
Equations"". It is aimed at mathematicians, researchers in applied
sciences and graduate students.
目錄：
Volume 1
Plenary Talks
Stefano Bianchini
SBV Regularity for Scalar Conservation Laws
Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor Entropy Stable
ENO Scheme
Feimin Huang
Large Time Behavior of Solutions for Compressible Navier-Stokes
Equations
Yoshiyuki Kagei
On Asymptotic Behavior of Solutions of the Compressible
Navier-Stokes Equation around a Parallel Flow
Tai-Ping Liu, Yanni Zeng
On Nonlinear Stability of Viscous Shock Waves with Physical
Viscosity
Tao Luo, Joel Smoller
Stellar Structure, Dynamics and Stability
Evgueni Yu. Panov
On Some Non-strictly Hyperbolic Systems of Conservation Laws
Denis Serve
Irrotational Flows for Chaplygin Gas: Conical Waves
Invited Talks
Boris Andreianov
Dissipative Coupling of Scalar Conservation Laws across an
Interface: Theory and Applications
Daniel Balagué, José A. Carrillo
Aggregation Equation with Growing at Infinity Attractive-repulsive
Potentials
Gui-Qiang Chen, Marshall Slemrod, Dehua Wang Mixed Type Problems
for Transonic Flow in Gas Dynamics and Isometric Embedding in
Geometry
Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen Hamiltonian
Approximation of Entropy Solutions of the Burgers Equation
Rinaldo M. Colombo
Coupling Hyperbolic Conservation Laws and Ordinary Differential
Equations
Jean-Francois Coulombel
Stability of Finite Difference Schemes for Hyperbolic Initial
Boundary Value Problems
Wolfgang Dreyer, Clemens Guhlke
Hysteresis and Phase Transition in Many-particle Storage Systems
Volker Elling
Existence of Algebraic Vortex Spirals
Franz G. Fuchs, Andrew D. McMurry, Siddhartha Mishra, Knut Waagan
Robust Finite Volume Schemes for Simulating Waves in the Solar
Atmosphere
Orhan Mehmetoglu, Bojan Popov
Maximum Principle of Central Schemes with k-monotone Fluxes
Ronghua Pan
Darcy''s Law in One-dimensional Isentropic Porous Medium Flow
Huijiang Zhao
Diffusive Expansion for Solutions of the Boltzmann Equation in the
Whole Space
Contributed Talks
Debora Amadori, Wen Shen A Nonlocal Conservation Law from a Model
of Granular Flow
David M. Ambrose, Jon Wilkening Computing Time-periodic Solutions
of Nonlinear Systems of Partial Differential Equations
Corentin Audiard
Boundary Value Problem for the Linearized Euler-Korteweg System on
the Half Line
Mathieu Bachmann, Siegfried Miiller, Philippe Helluy, Héléne Mathis
A Simple Model for Cavitation with Non-condensable Gases
Mapundi K. Banda, Michael Herty
Adjoint IMEX-based Schemes for the Numerical Solution of Optimal
Control Problems Governed by Conservation Laws
Stefan Berres, Ricardo Ruiz-Baier, Hartmut Schwandt, Elmer M. Tory
A Two-dimensional Model of Pedestrian Flow Generating Pattern
Formation
Fernando Betancourt, Raimund Bürger, Kenneth H. Karlsen
Well-posedness and Travelling Wave Analysis for a Strongly
Degenerate Parabolic Aggregation Equation
Slavko Brdar, Andreas Dedner, Robert Klofkorn
CDG Method for Navier-Stokes Equations
Manuel J. Castro, Enrique D. Fernández-Nieto, José M. González-Vida
IFCP Riemann Solver for the Pitman-Le System
M. Castro, J. T. Frings, S. Noelle, C. Parés, G. Puppo
On the Hyperbolicity of Two- and Three-layer Shallow Water
Equations
Christophe Chalons, Frédéric Coquel
Computing Material Fronts with a Lagrange-Projection Approach
Florent Chazel, David Lannes, Fabien Marche
A Numerical Method for a Shallow Water Model with Dispersive Source
Terms
Volume 2
Contributed Talks
Alina Chertock, Jian-Guo Liu, Terrance Pendleton Convergence
Analysis of the Particle Method for the Camassa-Holm Equation
Paolo Corti
Stable Numerical Scheme for the Magnetic Induction Equation with
Hall Effect
Andreas Dedner, Christoph Gersbacher
A Local Discontinuous Galerkin Discretization for Hydrostatic Free
Surface Flows Using σ-transformed Coordinates
Donatella Donatelli, Pierangelo Marcati Analysis of Quasineutral
Limits
Renjun Duan, Robert M. Strain
On the Full Dissipative Property of the Vlasov-Poisson-Boltzmann
System
P. Engel, C. Rohde
On the Space-Time Expansion Discontinuous Galerkin Method Ulrik
Skre Fjordholm
Energy Conservative and Stable Schemes for the Two-layer Shallow
Water Equations
Jan Giesselmann
Sharp Interface Limits for Korteweg Models
Nan Jiang
On the Convergence of Semi-discrete High Resolution Schemes with
Superbee Flux Limiter for Conservation Laws
Song Jiang, Qiangchang Ju, Fucai Li
Asymptotic Limits of the Compressible Magnetohydrodynamic
Equations
Chunhua Jin, Tong Yang, Jingxue Yin
Waiting Time for a Non-Newtonian Polytropic Filtration Equation
with Convection
Quansen Jiu, Yi Wang, Zhouping Xin
Stability of Rarefaction Waves to the 1D Compressible Navier-
Stokes Equations with Density-dependent Viscosity
E. A. Johnson, J. A. Rossmanith
Ten-Moment Two-fluid Plasma Model Agrees Well with PICVlasov in
GEM Problem
Frederike Kissling, Christian Rohde
Numerical Simulation of Nonclassical Shock Waves in Porous Media
with a Heterogeneous Multiscale Method
Ujjwal Koley
Implicit Finite Difference Scheme for the Magnetic Induction
Equation
Anastasia Korshunova, Olga Rozanova
On Effects of Stochastic Regularization for the Pressureless Gas
Dynamics
Dietmar Kroener
Jump Conditions across Phase Boundaries for the Navier- Stokes
Korteweg system
Kai Krycki, Martin Frank
Numerical Treatment of a Non-classical Transport Equation Modelling
Radiative Transfer in Atmospheric Clouds
Harish Kumar
Finite Volume Methods for the Two-fluid MHD Equations
Tong Li, Zhi-An Wang
Nonlinear Stability of Large Amplitude Traveling Waves to
Hyperbolic-parabolic System Modeling Chemotaxis
Yong Li, Song Jiang, Qiangchang Ju, Hailiang Li
Quasi-neutral Limits of the Two-fluid Euler-Poisson Systems
Qiuhua Liang
Dynamically Adaptive Simulation of Solute Transport Driven by
Shallow Flows
Chunjin Lin
Asymptotic Stability of Rarefaction Waves in Radiative
Hydrodynamics
Jun Luo, Kun Xu
A Symplecticity-preserving Gas-kinetic Scheme for Hydrodynamic
Equations under External Forcing Field
Andrea Mentrelli, Tommaso Ruggeri, Masaru Sugiyama, Nanrong
Zhao
Shock Wave Admissibility and Shock-induced Phase Transitions in a
van der Waals Fluid
Magali Mercier
L1 Stability for Scalar Balance Laws; Application to Pedestrian
Traffic
Gino Montecinos, Eleuterio Toro
Solver for the Generalized Riemann Problem for Balance Laws with
Stiff Source Terms: The Scalar Case
Thomas Mueller, Dietmar Kroener
Related Problems for TV-estimates for Conservation Laws on
Surfaces
Maria Luz Munoz-Ruiz, Carlos Parés Madronal
Properties of Path-conservative Schemes for Hyperbolic Systems of
Balance Laws
Martin Nolte
A Fast Sweeping Method for Computing the Effective
Hamiltonian
Martina Pawlak, Thomas Sonar
A Spectral Difference Method with Dubiner Polynomials on
Triangulations
G. Puppo, M. Semplice
Adaptive Grids and the Entropy Error Indicator
Xiaohong Qin, Yi Wang
Large-time Behavior of Solutions to the Inflow Problem of Full
Compressible Navier-Stokes Equations
Peng Qu
Mechanism of Singularity Formation for Linearly Degenerate
Quasilinear Hyperbolic Systems
Olivier Rouch, Paul Arminjon
Extension of Harten''s Artificial Compression Method and of an
Entropy-based Detector of Discontinuity to Unstructured Triangular
Grids, using Arminjon-Viallon''s Staggered Central Scheme
Roman Semenko
Layered Structures: Instability of the Shock Waves and
Elecrtodynamical Instability
Zhi-Qiang Shao
Global Classical Discontinuous Solutions to the Generalized Riemann
Problem for Linearly Degenerate Hyperbolic Conservation Laws under
Small BV Perturbations of the Initial Data
V. M. Shelkovich
One Class of Systems of Conservation Laws Admitting
Delta-shocks
Wen Shen, Tianyou Zhang
A Conservation Law with Nonlocal Flux for Erosion Profiles
Keh-Ming Shyue
A Moving-mesh Relaxation Scheme for One-dimensional Barotropic
Two-phase Flow with Cavitation
Yuri Trakhinin
Well-posedness of the Free Boundary Problem for Non-relativistic
and Relativistic Compressible Euler Equations with a Vacuum
Boundary Condition
Yoshihiro Ueda
Convergence Rate to the Stationary Waves for Viscous Conservation
Laws with Non-convexity on the Half Space
M. A. Ullah, Wenbin Gao, De-Kang Mao
Numerical Simulation of Shock-bubble Interactions Using
Conservative Front Tracking Method
Jing Wang, Feng Xie
Asymptotic Stability of Viscous Contact Wave for the 1D Radiation
Hydrodynamics System
Kung-Chien Wu, Chi-Kun Lin
Dispersive Limits of the Nonlinear Klein-Gordon Equation
Hao Yan, Li Chen
Semiclassical Limit of Quantum Semiconductor Models
Penghong Zhong, Shu Wang, Ke Wang, Ronghui Yang
A Result on Global Solutions to 3D Complex Ginzburg-Landau
Equation
Penghong Zhong, Shu Wang, Ke Wang, Ronghui Yang
Exact Configuration for 3D Ginzburg-Landau Equation Based on Some
ODEs
Author Index
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